invoice vs bill

invoice and bill both are nouns.

Word	Noun	Adjective	Verb	Adverb
invoice	Yes	No	Yes	No
bill	Yes	No	Yes	No

As nouns, invoice and bill are synonyms defined as:

invoice and bill: an itemized statement of money owed for goods shipped or services rendered

Other synonyms of invoice include account.

As verbs, bill is a hypernym of invoice; that is, bill is a word with a broader meaning than invoice:

Other hypernyms of invoice include charge.

invoice (noun)	bill (noun)
an itemized statement of money owed for goods shipped or services rendered	the entertainment offered at a public presentation
	horny projecting mouth of a bird
	a brim that projects to the front to shade the eyes
	a cutting tool with a sharp edge
	a sign posted in a public place as an advertisement
	an itemized statement of money owed for goods shipped or services rendered
	an advertisement (usually printed on a page or in a leaflet) intended for wide distribution
	a statute in draft before it becomes law
	a list of particulars (as a playbill or bill of fare)
	a piece of paper money (especially one issued by a central bank)

invoice (verb)	bill (verb)
send a bill to	advertise especially by posters or placards
	publicize or announce by placards
	demand payment