It varies, and it’s probably very difficult to measure exactly, but the moon and the earth are about 250,000 miles apart. Here’s a picture of what it really looks like. The relative size of the 2 objects and the distance between them should be accurate.
Shout out to Drew Olbrich for the picture. You’d have to be 350,000 miles away from earth to gain this vantage point. Mars, the next closest planet, is about 600 times further away than the moon.