Can I print without connecting to the same Wi-Fi network as the printer?
Yes, you can print wirelessly using Wi-Fi Direct, which allows your computer or mobile device to connect directly to the printer without being on the same Wi-Fi network. Up to 5 computers and mobile devices can connect to the printer simultaneously using Wi-Fi Direct. To enable it, go to Menu, touch Settings, touch Network, scroll down to touch Wi-Fi Direct, and toggle it on. (Page 30)
From the official HP Smart Tank 7600 Printer manual, page 30
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