I have a PRO MFP M477 that continues to give me an error 79 message when printing wireless multiple pages. Does not jam when copying multiple pages. Very Frustrating.
Try launching the Print Spooler service for your HP printer. You can find it on a Windows system, in the “Task Manager”, in particular. Check “Description” in “Services” and then tap on this service. When its functioning is over, you can try printing pages wirelessly. The error 79 should not occur this time.
Even then, if additional assistance is needed to properly understand the cause, please go to: https://www.errorsdoc.com/hp/how-to-fix-79-service-error-code-on-hp-laserjet-pro-400-printer/