7306830400 has 63 divisors (see below), whose sum is σ = 17987786859. Its totient is φ = 2921364480.

The previous prime is 7306830359. The next prime is 7306830431. The reversal of 7306830400 is 40386037.

The square root of 7306830400 is 85480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3124362816 + 4182467584 = 55896^2 + 64672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3418132 + ... + 3420268.

Almost surely, 2^7306830400 is an apocalyptic number.

7306830400 is the 85480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7306830400

7306830400 is an abundant number, since it is smaller than the sum of its proper divisors (10680956459).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7306830400 is an frugal number, since it uses more digits than its factorization.

7306830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The cubic root of 7306830400 is about 1940.4822551396.

The spelling of 7306830400 in words is "seven billion, three hundred six million, eight hundred thirty thousand, four hundred".