초대하다(cho-dae-ha-da, chodaehada)
To formally and politely invite someone to an event or place
When to use
wedding invitation, company event invitation, friend's housewarming invitation
The nuance
Used in formal situations or polite invitations when requesting someone to attend an event.
불러주다(bul-reo-ju-da, bulreojuda)
To call someone by name or sound, or to casually ask someone to come to a place or gathering
When to use
calling friend over, calling child by name, inviting to karaoke
The nuance
Used in friendly or informal contexts to call someone or invite them to a song or performance.