How fast does the Earth orbit the Sun, in miles per hour?

How to get close to this number

You can derive this one instead of recalling it. You already know roughly how far away the Sun is, and the orbit is a loop of about six times that distance. Divide by the number of hours in a year and you have the answer. That chain — a known distance, a known geometry, a known period — is more reliable than any figure you half-remember.

The reason it feels wrong is that nobody experiences it. There is no wind, no vibration and no sense of motion, because everything around you is moving at the same speed and there is nothing outside to measure against. Motion is only ever detectable relative to something else, which is precisely why a speed this large can go completely unnoticed for a lifetime.

Note what the figure is measuring: the Earth relative to the Sun. As the explanation points out, the Sun itself is being carried around the galaxy far faster, and the galaxy is moving too. There is no fixed background to measure against, so every speed of this kind is quoted relative to something, and the reference frame is part of the answer rather than a footnote to it.