In Noragami, the main character refers to himself as "yatogami". I'm not sure if that's his name or his title. A quick google search shows that its a surname, but the way he said it makes me think its some kind of title.
In Noragami, Yato refers to himself as a god. 神, which is the kanji for god, can be pronounced "gami", so he is probably referring to himself literally as "Yato God".
His name in Kanji is 夜卜
Yato is neither, but rather an alias. The 卜 is actually a kanji and not the katakana "to" that he makes people believe it is by calling himself Yato. His name is actually Yaboku.
Gami, one of the pronunciations of 神 would be his title, since it means god.