Earth's rotation should eventually be synchronized with the Moon's orbit.
It may have captured or formed moons in the distant past, but none remain. The closeness of Mercury's orbit to the Sun would likely prevent moons from maintaining a stable orbit.
The Sun has no moons. Moons orbit Planets > Planets orbit the Sun.
Asteroids orbit the sun. Moons orbit planets and planets orbit the sun. So you could say the moons orbit the sun. However, moons are kept in their orbits by the gravity of their planet and planets are kept in orbit by the gravity of the sun. So in that sense, moons do not orbit the sun.
Europa takes about 4 days to orbit Jupiter. It also takes about 4 days to rotate so it's considered a synchronized orbit.
That is called a geosynchronous orbit.
63 known moons orbit Jupiter.
Callisto is the 2nd largest and 8th closest of Jupiter's known moons, with an orbit about 1.8 million km from Jupiter. It was discovered by Galileo in 1610 and is the most distant from Jupiter of the 4 large Galilean moons. Jupiter's large moons orbit rapidly compared to Earth's Moon. Callisto circles Jupiter every 16.7 Earth days.
Moons are satellites. They orbit planets.
Not our (the Earth's) moon but Jupiter has lots of its own moons that orbit it.
27 moons orbit Uranus that we know of
Moons
Moons orbit around planets. They are natural satellites that are held in orbit by the planet's gravitational pull.