hum·ble·brag·ging /ˈhʌmbəlˌbræɡɪŋ/ noun [uncountableU] the action of telling people how good your life, achievements etc are in a way that makes them seem not very good, because you do not want to seem boastful – used to show disapproval She’s always humblebragging by complaining about the number of parties she has to go to.
—humblebrag noun [countableC] I find his humblebrags both annoying and hilarious.