Pan is a god that is strongly bound to the power of Nature.
Despite its half man - half goat nature, he is one of the more "human" Gods, representing the interaction beetwen man and Nature.
Together with Dionysus, he embodies the beastly and edonistic part of human nature.
He has a special power that nor Dionysus nor the other Gods have: he is the only one who is able to do spherical poo !