Check whether the following number is the square of an even number?

$40$

Show that $1300$ is not a perfect square.

By which number should the following number be multiplied to get a perfect square? Also, find the number whose square is the new number.

$7776$

By which number should the following number be multiplied to get a perfect square? Also, find the number whose square is the new number.

$3468$

By which number should the following number be multiplied to get a perfect square? Also, find the number whose square is the new number.

$4056$

By which number should the following number be multiplied to get a perfect square? Also, find the number whose square is the new number.

$2880$

By which number should the following number be multiplied to get a perfect square? Also, find the number whose square is the new number.

$3675$

By which number should the following number be multiplied to get a perfect square? Also, find the number whose square is the new number.

$605$

By which number should the following number be divided to get a perfect square? Also, find the number whose square is the new number.

$4608$