diff --git a/Lib/test/list_tests.py b/Lib/test/list_tests.py
index c9aa316..8dd6de6 100644
--- a/Lib/test/list_tests.py
+++ b/Lib/test/list_tests.py
@@ -519,6 +519,9 @@
         a = self.type2test(range(10))
         a[::2] = tuple(range(5))
         self.assertEqual(a, self.type2test([0, 1, 1, 3, 2, 5, 3, 7, 4, 9]))
+        # test issue7788
+        a = self.type2test(range(10))
+        del a[9::1<<333]
 
     def test_constructor_exception_handling(self):
         # Bug #1242657
diff --git a/Lib/test/test_array.py b/Lib/test/test_array.py
index 2c4c2fd..206042f 100755
--- a/Lib/test/test_array.py
+++ b/Lib/test/test_array.py
@@ -850,6 +850,9 @@
         a = array.array(self.typecode, range(10))
         del a[::1000]
         self.assertEqual(a, array.array(self.typecode, [1,2,3,4,5,6,7,8,9]))
+        # test issue7788
+        a = array.array(self.typecode, range(10))
+        del a[9::1<<333]
 
     def test_assignment(self):
         a = array.array(self.typecode, range(10))
diff --git a/Lib/test/test_bytes.py b/Lib/test/test_bytes.py
index f8f36de..85d5e03 100644
--- a/Lib/test/test_bytes.py
+++ b/Lib/test/test_bytes.py
@@ -569,7 +569,7 @@
         self.assertEqual(b, bytearray([0, 1, 2, 42, 42, 42, 3, 4, 5, 6, 7, 8, 9]))
 
     def test_extended_set_del_slice(self):
-        indices = (0, None, 1, 3, 19, 300, -1, -2, -31, -300)
+        indices = (0, None, 1, 3, 19, 300, 1<<333, -1, -2, -31, -300)
         for start in indices:
             for stop in indices:
                 # Skip invalid step 0
diff --git a/Misc/NEWS b/Misc/NEWS
index d518010..73267a8 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -12,6 +12,9 @@
 Core and Builtins
 -----------------
 
+- Issue #7788: Fix an interpreter crash produced by deleting a list
+  slice with very large step value.
+
 - Issue #7561: Operations on empty bytearrays (such as `int(bytearray())`)
   could crash in many places because of the PyByteArray_AS_STRING() macro
   returning NULL.  The macro now returns a statically allocated empty
diff --git a/Modules/arraymodule.c b/Modules/arraymodule.c
index 6fad71c..3b493d5 100644
--- a/Modules/arraymodule.c
+++ b/Modules/arraymodule.c
@@ -1794,8 +1794,9 @@
 	}
 	else if (needed == 0) {
 		/* Delete slice */
-		Py_ssize_t cur, i;
-		
+		size_t cur;
+		Py_ssize_t i;
+
 		if (step < 0) {
 			stop = start + 1;
 			start = stop + step * (slicelength - 1) - 1;
diff --git a/Objects/bytearrayobject.c b/Objects/bytearrayobject.c
index 1b4c22a..a634cff 100644
--- a/Objects/bytearrayobject.c
+++ b/Objects/bytearrayobject.c
@@ -699,7 +699,8 @@
     else {
         if (needed == 0) {
             /* Delete slice */
-            Py_ssize_t cur, i;
+            size_t cur;
+            Py_ssize_t i;
 
             if (!_canresize(self))
                 return -1;
diff --git a/Objects/listobject.c b/Objects/listobject.c
index c5b1475..843df6b 100644
--- a/Objects/listobject.c
+++ b/Objects/listobject.c
@@ -2604,7 +2604,8 @@
 		if (value == NULL) {
 			/* delete slice */
 			PyObject **garbage;
-			Py_ssize_t cur, i;
+			size_t cur;
+			Py_ssize_t i;
 
 			if (slicelength <= 0)
 				return 0;