How does Sleep mode work and how can I change the sleep timer?
The printer automatically enters Sleep mode after 5 minutes of inactivity, during which the Power button light dims and the control panel display turns off. After 2 hours in Sleep mode, the printer automatically turns off if not connected to a wireless network. To change the sleep timer, open the Embedded Web Server (EWS), click the Settings tab, go to the Power Management section, click Energy Save Mode, select the desired option, and click Apply. (Page 26)
From the official HP Deskjet GT 5820 All-in-One Printer manual, page 26
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