Her name is most likely taken from the word おっぱお (oppao). The word made its first known use on Hikaru Ijuin's radio show Shinya no Barajikara (深夜の馬鹿力) on 11/1/2004 as part of his joke material.
Child A: "Tell me what you get when you replace the 'i' in 'ippai' (a lot) with 'o'." Child B: "O… 'oppai'?" Child A: "Duuuumy, you get 'oppao'. Thinking about boobs, you're such a pervert."
What's so bad about being a pervert! All men like boobs! (probably)