"omnivorous animal or person," 1890 (as a dictionary word by 1846), formed from omnivorous on model of carnivore/carnivorous. French omnivore was noted as a neologism in that language in 1801 and might be the direct source of the English word.
omnipresent
omniscience
omniscient
omnisexual
omnium gatherum
omnivore
omnivorous
omo-
omophagous
omphalic
omphalo-