diff --git a/deepdiff/delta.py b/deepdiff/delta.py
index 0d1e33dc..5d545afa 100644
--- a/deepdiff/delta.py
+++ b/deepdiff/delta.py
@@ -499,6 +499,17 @@ def _do_type_changes(self):
             self._do_values_or_type_changed(type_changes, is_type_change=True)
 
     def _do_post_process(self):
+        # Whole-array replacements (including scalar-shaped arrays) bypass
+        # iterable preprocessing, but still need their recorded dtype restored.
+        if self._numpy_paths:
+            for path, type_ in self._numpy_paths.items():
+                if path in self.diff.get('values_changed', {}) or path in self.diff.get('type_changes', {}):
+                    try:
+                        dtype = numpy_dtype_string_to_type(type_)
+                    except Exception as e:
+                        self._raise_or_log(NOT_VALID_NUMPY_TYPE.format(e))
+                        continue
+                    self.post_process_paths_to_convert[path] = {'old_type': list, 'new_type': dtype}
         if self.post_process_paths_to_convert:
             # Example: We had converted some object to be mutable and now we are converting them back to be immutable.
             # We don't need to check the change because it is not really a change that was part of the original diff.
diff --git a/deepdiff/diff.py b/deepdiff/diff.py
index 4c7a4e5c..58db67e7 100755
--- a/deepdiff/diff.py
+++ b/deepdiff/diff.py
@@ -2013,6 +2013,15 @@ def _diff_numpy_array(self, level, parents_ids=frozenset(), local_tree=None):
             # which means numpy module needs to be available. So np can't be None.
             raise ImportError(CANT_FIND_NUMPY_MSG)  # pragma: no cover
 
+        # A zero-dimensional array contains a scalar and cannot be iterated.
+        # Dispatch its Python value normally, also handling scalar/array shape
+        # changes instead of passing a scalar into the iterable comparison.
+        if level.t1.ndim == 0 or level.t2.ndim == 0:
+            level.t1 = level.t1.tolist()
+            level.t2 = level.t2.tolist()
+            self._diff(level, parents_ids, local_tree=local_tree)
+            return
+
         if (self.ignore_order_func and not self.ignore_order_func(level)) or not self.ignore_order:
             # fast checks
             if self.significant_digits is None:
diff --git a/tests/test_diff_numpy.py b/tests/test_diff_numpy.py
index 129500fb..cfe29470 100644
--- a/tests/test_diff_numpy.py
+++ b/tests/test_diff_numpy.py
@@ -1,5 +1,5 @@
 import pytest
-from deepdiff import DeepDiff
+from deepdiff import DeepDiff, Delta
 from deepdiff.helper import np
 from tests import parameterize_cases
 
@@ -174,3 +174,52 @@ class TestNumpy:
     def test_numpy(self, test_name, t1, t2, deepdiff_kwargs, expected_result):
         diff = DeepDiff(t1, t2, **deepdiff_kwargs)
         assert expected_result == diff, f"test_numpy {test_name} failed."
+
+
+@pytest.mark.parametrize('ignore_order', [False, True])
+@pytest.mark.parametrize('before, after', [(1, 2), (1.5, 2.5), ('a', 'b'), (True, False)])
+def test_zero_dimensional_array_values(before, after, ignore_order):
+    options = {'ignore_order': ignore_order}
+    assert DeepDiff(np.array(before), np.array(after), **options) == {
+        'values_changed': {'root': {'old_value': before, 'new_value': after}}
+    }
+    assert not DeepDiff(np.array(before), np.array(before), **options)
+    assert DeepDiff({'value': np.array(before)}, {'value': np.array(after)}, **options) == {
+        'values_changed': {"root['value']": {'old_value': before, 'new_value': after}}
+    }
+
+
+@pytest.mark.parametrize('ignore_order', [False, True])
+def test_zero_dimensional_array_comparison_options(ignore_order):
+    assert not DeepDiff(np.array(1.01), np.array(1.02), significant_digits=1, ignore_order=ignore_order)
+    assert not DeepDiff(np.array(1.01), np.array(1.02), math_epsilon=0.1, ignore_order=ignore_order)
+    assert not DeepDiff(np.array(float('nan')), np.array(float('nan')),
+                        ignore_nan_inequality=True, ignore_order=ignore_order)
+    assert not DeepDiff(np.array(1), np.array(1.0), ignore_numeric_type_changes=True, ignore_order=ignore_order)
+
+
+@pytest.mark.parametrize('before, after', [(1, 2), (1.5, 2.5), (True, False), (1, [1]), ([1], 1)])
+def test_zero_dimensional_array_delta(before, after):
+    t1, t2 = np.array(before), np.array(after)
+    result = Delta(DeepDiff(t1, t2)) + t1
+    assert isinstance(result, np.ndarray)
+    assert result.shape == t2.shape
+    np.testing.assert_array_equal(result, t2)
+
+
+def test_nested_zero_dimensional_array_delta():
+    t1 = {'value': np.array(1)}
+    t2 = {'value': np.array(2)}
+    result = Delta(DeepDiff(t1, t2)) + t1
+    assert isinstance(result['value'], np.ndarray)
+    assert result['value'].shape == ()
+    np.testing.assert_array_equal(result['value'], t2['value'])
+
+
+def test_zero_dimensional_array_delta_rejects_invalid_dtype():
+    from deepdiff.delta import DeltaError
+
+    delta = Delta({'values_changed': {'root': {'new_value': 2}},
+                   '_numpy_paths': {'root': 'invalid_dtype'}}, raise_errors=True)
+    with pytest.raises(DeltaError, match='not a valid numpy type'):
+        delta + np.array(1)