Apparent color and true color
The moon appears to shine because it reflects light from the Sun — it doesn’t actually produce any light of its own. It doesn’t even reflect that much light to begin with — just 3 to 12% of the sunlight that hits it gets reflected.
The perceived brightness of the moon depends on where the moon is in orbit around the Earth. The color of the moon, as it is sometimes seen from Earth, can also vary substantially, from red and violet to white or yellow. However, that’s caused by optical phenomena in our atmosphere, not the moon itself. In other words, that’s just the apparent color, the real color doesn’t really depend on optical shenanigans.