All, universal
Pan- comes from Greek "pan" (all, the whole) and signals universal inclusion or the totality of something: pandemic = a disease spreading across the whole world (pan = all + demos = people); panorama = a view of everything around; pantheon = the place of all the gods; Pan-American = involving all nations of the Americas; panacea = a cure for all ills.
Pan- vs omni-
Pan- (Greek) and omni- (Latin) both mean "all," but are used in different contexts: pan- appears more in geopolitical and cultural contexts (Pan-African, Pan-European, pandemic), while omni- appears more in philosophy and theology (omnipotent, omniscient). Pan- implies more "the totality of a group" or "spread across all"; omni- implies more "an absolute capacity or presence."