The sun's mass is 2.7 x 10⁷ times the Earth's mass.
(That little ⁷ that you left out makes a big difference.)
The sun is also about 391 times as far from Earth as
the moon is.
So we would expect the gravitational forces between the
sun and the Earth to be about
(2.7 x 10⁷) / (391²)
= (2.7 x 10⁷) / (1.53 x 10⁵)
= about 176 times
the strength of the gravitational forces between
the moon and the Earth.
That's stronger, by a factor of about 176 .
