Can I use my HP OfficeJet Pro 8720 without a router?

Yes, with Wi-Fi Direct, you can connect your computer or mobile device (such as smartphone or tablet) directly to the printer wirelessly without connecting to an existing wireless network. To use Wi-Fi Direct, you might need HP software installed on your computer or mobile device.

From the official HP Officejet Pro 8720 All-in-One Printer manual, page 3

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