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The moon does not emit any visible light of its own.
Because it is not at absolute zero it will radiate and reflect infra red.
All light from the moon is reflected light from the Sun
The moon has an albedo of .12 so it reflects only 12% of the light it receives from the Sun
The harmful radiation from the Sun does not penetrate our atmosphere so any harmful reflection from the Moon would be even less likely to penetrate our atmosphere.
A spectrum from the reflected sunlight will be almost identical to the spectrum of the direct rays of the Sun and contain the same absorption bands. The most notable one is the sodium band in the yellow spectrum.
If you have a spectrometer you can see these absorption bands. Of interest if you do have one is to "burn" a small globule of salt in the gas flame you will see the emmision lines from the sodium in the same place as the absoption lines in the Sun's spectrum.
So to answer your initial question the bandwidth of the light reflected by the Moon will be essentially the same as that from the Sun but further attenuated because of the reflectivity of the moon.
We also know that the Moon reflects the much lower frequencies in the radio spectrum quite well.
Barry
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