And at the end of eight days, when he was circumcised, he was called Jesus, the name given by the angel before he was conceived in the womb Luke 2:21

So on the eight day, he was circumcised. The eight day is medically significant because there are high levels of Vitamin K and the level of Prothrombin is over 100% of normal, the only time in a males life when this will be the case. Both Vitamin K and Prothrombin are clotting agents so the eight day is the perfect day for circumcision to be performed, another example of God’s perfect timing and order in his creation.

The passage goes onto say that He was named Jesus, God saves. A conclusion in itself.

But what about the name mentioned in Matthew?

“Joseph, son of David, do not be afraid to take Mary as your wife; for the Child who has been conceived in her is of the Holy Spirit. 21 She will bear a Son; and you shall call His name Jesus, for [w]He will save His people from their sins.” 22 Now all this took place to fulfill what was spoken by the Lord through the prophet: 23 “Behold, the virgin shall be with child and shall bear a Son, and they shall call His name Immanuel,” which translated means, “God with us.” Matthew 1:20-23

It says He would be called Immanuel, this illustrates the many names given to Jesus. He is God saves, but He is also God with us. When we look in Isaiah we can see a few of the other names that are given to him

For a child will be born to us, a son will be given to us;
And the government will [a]rest on His shoulders;
And His name will be called Wonderful Counselor, Mighty God,
Eternal Father, Prince of Peace. Isaiah 9:6

Each name speaks of a different aspect of His character, in fact there are over 200 names. Take some time and begin to look them up and see what each name means for each one has a truth of who God is, and who He is to you.