There are multiple origins and meanings for the name Pan:
1. Polish "lord, mister, sir"
2. Chinese first name (盼) meaning - "hope for" or of (胖) meaning - "fat"
3. Derived from the Greek (παν) meaning - "everything; entirety" or from (πάειν) meaning - "to pasture"
In Greek mythology Pan (Παν) is the God of the wild, shepherds and flocks, nature, of mountain wilds, hunting and rustic music, and companion of the nymphs. Roman form - Faunus.