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Greetings,
This is a common misconception. The printer is connected to 2.4Ghz, your computer is connected to the router's 5Ghz broadcast. The routers job is to connect all of the devices on the network, regardless of how they connect, Wired or wirelss and regardless of the band.
Off topic: Most wireless devices (including your C7800) also has a guest network capability. There is a specific option called Guest Network Isolation that allows devices to connect, but does not allow then to "see", access or connect to other devices on the (mani) network. This is typical in a business environment where you want to provide internet access to visitors, but you don't want them on the company's network, or to have access to servers, etc.
For you reference:
NETGEAR AC3200 WiFi Cable Modem Router Model C7800 User Manual
I'm using an R8000P in one of my properties (BTW)
See pages 64 and 65 for the steps to Reserve a IP Address.
It will look similar to this:
