Luke 1:19–20 (ESV)

19 And the angel answered him, “I am Gabriel. I stand in the presence of God, and I was sent to speak to you and to bring you this good news.

The angel here reveals his name, and it is Gabriel (which means mighty one of God). He makes it clear that he comes directly from God and speaks on behalf of God. He also says that because of his disbelief Zechariah will turn mute. He will be able to hear but not to speak all throughout Elizabeth’s pregnancy. You can call this both a punishment on his doubt and a sign of remarkable things to come. Interestingly, Gabriel and Michael (Daniel 10:13, Daniel 10:21; Jude 1:9; Revelation 12:7) are the only two personal angel names mentioned in the Bible.