Everybody is third person singular.
The words everybody and everyone are pronouns that describe a group of people, but grammatically they are singular. The last part of each word is a singular noun: body and one. Below are some example sentences:
Everybody is coming to the house after the show.
Everyone has a reason to smile.
Everybody who works here does something different.
Everyone on the bus is wearing a coat.
Everybody runs along the trail.
Everyone likes ice cream.
I hope this helps.