Thanks for reaching out to the HP Support Forums for a solution to your printer issue.
I understand that you are using an HP Officejet Pro 8620 e-All-in-One Printer with a Windows 8 computer and the printer is sometimes printing 5-10 'Printer Status Reports' a day without any reason. I would like to help with that.
I would start by doing a Power Reset on the printer.
Once that is finished, download the HP Print and Scan Doctor just to make sure that everything is alright with the printer's software.
Please let me know if this resolves the issue, or if you require further assistance.
In fact, if this helps you to reach a solution, please click the "Accept as Solution", and the "thumbs up" buttons down below in this message. 🙂
Please click “Accept as Solution ” if you feel my post solved your issue, it will help others find the solution.