diff --git a/src/core/fonts.js b/src/core/fonts.js
index 95ee7fdb8..cdb08c74b 100644
--- a/src/core/fonts.js
+++ b/src/core/fonts.js
@@ -2666,7 +2666,14 @@ var Font = (function FontClosure() {
     }
     // Some CIDFontType0C fonts by mistake claim CIDFontType0.
     if (type === 'CIDFontType0') {
-      subtype = isType1File(file) ? 'CIDFontType0' : 'CIDFontType0C';
+      if (isType1File(file)) {
+        subtype = 'CIDFontType0';
+      } else if (isOpenTypeFile(file)) {
+        // Sometimes the type/subtype can be a complete lie (see issue6782.pdf).
+        type = subtype = 'OpenType';
+      } else {
+        subtype = 'CIDFontType0C';
+      }
     }
 
     var data;
@@ -2750,6 +2757,11 @@ var Font = (function FontClosure() {
     return readUint32(header, 0) === 0x00010000;
   }
 
+  function isOpenTypeFile(file) {
+    var header = file.peekBytes(4);
+    return bytesToString(header) === 'OTTO';
+  }
+
   function isType1File(file) {
     var header = file.peekBytes(2);
     // All Type1 font programs must begin with the comment '%!' (0x25 + 0x21).
diff --git a/test/pdfs/.gitignore b/test/pdfs/.gitignore
index 74aa95331..e6b2b9c2e 100644
--- a/test/pdfs/.gitignore
+++ b/test/pdfs/.gitignore
@@ -14,6 +14,7 @@
 !issue5946.pdf
 !issue5972.pdf
 !issue5874.pdf
+!issue6782.pdf
 !filled-background.pdf
 !ArabicCIDTrueType.pdf
 !ThuluthFeatures.pdf
diff --git a/test/pdfs/issue6782.pdf b/test/pdfs/issue6782.pdf
new file mode 100644
index 000000000..d86458e89
Binary files /dev/null and b/test/pdfs/issue6782.pdf differ
diff --git a/test/test_manifest.json b/test/test_manifest.json
index 694509251..1a1454483 100644
--- a/test/test_manifest.json
+++ b/test/test_manifest.json
@@ -1472,6 +1472,13 @@
        "link": false,
        "type": "eq"
     },
+    {  "id": "issue6782",
+       "file": "pdfs/issue6782.pdf",
+       "md5": "b423f709600daa5745cc6d8234f7c608",
+       "rounds": 1,
+       "link": false,
+       "type": "eq"
+    },
     {  "id": "bug867484",
       "file": "pdfs/bug867484.pdf",
       "md5": "347af7b0ef7279b1a7f43b03bfda4548",