756793863721 has 9 divisors (see below), whose sum is σ = 880359129399. Its totient is φ = 648675234984.

The previous prime is 756793863703. The next prime is 756793863731. The reversal of 756793863721 is 127368397657.

The square root of 756793863721 is 869939.

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

756793863721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 234406064025 + 522387799696 = 484155^2 + 722764^2 .

It is not a de Polignac number, because 756793863721 - 2⁷ = 756793863593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (756793863731) 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, 6027435 + ... + 6151711.

Almost surely, 2^756793863721 is an apocalyptic number.

756793863721 is the 869939-th square number.

756793863721 is the 434970-th centered octagonal number.

It is an amenable number.

756793863721 is a deficient number, since it is larger than the sum of its proper divisors (123565265678).

756793863721 is an frugal number, since it uses more digits than its factorization.

756793863721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248568 (or 124284 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 64.

Multiplying 756793863721 by its sum of digits (64), we get a square (48434807278144 = 6959512²).

The spelling of 756793863721 in words is "seven hundred fifty-six billion, seven hundred ninety-three million, eight hundred sixty-three thousand, seven hundred twenty-one".