Somewhere between 200 and 400 billion, depending upon how you define "sun." If you define it as a star, then see above. If you omit neutron stars and various dwarf stars or proto suns (stars which have not yet begun nuclear fusion), there would be less.
If you define as sun as any star with one or more planets in orbit, we only know of 623+ so far, though again the number would likely be in the billions.
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The Milky Way galaxy, like most galaxies, has one sun. Our sun is a star that is a part of the Milky Way galaxy.
The Milky Way galaxy is approximately 25,000 light-years away from the sun. However, distances in space are vast and can vary depending on the reference point used for measurement.
There are around 200 to 400 billion stars in our galaxy. It is more correct to call them stars, rather than "Suns", because the name "Sun" is the name of our star. You wouldn't call all Americans Sam, would you?
No, the Milky Way is a galaxy and it is the galaxy that we live in.
The Milky Way galaxy itself contains approximately 100 to 400 billion stars. There is an estimated 100 to 200 billion galaxies in the observable universe.
The sun is located in a spiral arm of the Milky Way galaxy, about 25,000 light-years from the center. In the universe, the sun is part of the Local Group, a collection of galaxies that includes the Milky Way and the Andromeda galaxy.