The Moon is an average of 238,855 miles (384,400 kilometers) from Earth, according to NASA. That distance is roughly 30 Earths lined up side by side, and light covers it in about 1.3 seconds.
Because the Moon follows a slightly elliptical orbit, the actual distance changes over each month, so it is a little closer at its nearest point (perigee) and a little farther at its farthest point (apogee).
Source: NASA Science, Moon Facts