pay for vs invite

pay for is not a noun while invite is a noun.

Word	Noun	Adjective	Verb	Adverb
pay for	No	No	Yes	No
invite	Yes	No	Yes	No

As verbs, pay for and invite are synonyms defined as:

pay for (noun)	invite (noun)
	a colloquial expression for invitation

pay for (verb)	invite (verb)
have as a guest	ask someone in a friendly way to do something
	request the participation or presence of
	ask to enter
	express willingness to have in one's home or environs
	give rise to a desire by being attractive or inviting
	increase the likelihood of
	invite someone to one's house
	have as a guest