8757216400 has 45 divisors (see below), whose sum is σ = 21043709881. Its totient is φ = 3502137920.

The previous prime is 8757216371. The next prime is 8757216401. The reversal of 8757216400 is 46127578.

The square root of 8757216400 is 93580.

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

It can be written as a sum of positive squares in only one way, i.e., 3152597904 + 5604618496 = 56148^2 + 74864^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8757216401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1869261 + ... + 1873939.

Almost surely, 2^8757216400 is an apocalyptic number.

8757216400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8757216400 is the 93580-th square number.

It is an amenable number.

8757216400 is an abundant number, since it is smaller than the sum of its proper divisors (12286493481).

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

8757216400 is an frugal number, since it uses more digits than its factorization.

8757216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The cubic root of 8757216400 is about 2061.2089864931.

The spelling of 8757216400 in words is "eight billion, seven hundred fifty-seven million, two hundred sixteen thousand, four hundred".