800974880784 has 135 divisors (see below), whose sum is σ = 2427736472343. Its totient is φ = 246410850816.

The previous prime is 800974880737. The next prime is 800974880821. The reversal of 800974880784 is 487088479008.

The square root of 800974880784 is 894972.

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

800974880784 is a `hidden beast` number, since 80 + 0 + 9 + 7 + 488 + 0 + 78 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 624776423184 + 176198457600 = 790428^2 + 419760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139612764 + ... + 139618500.

Almost surely, 2^800974880784 is an apocalyptic number.

800974880784 is the 894972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800974880784

800974880784 is an abundant number, since it is smaller than the sum of its proper divisors (1626761591559).

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

800974880784 is an equidigital number, since it uses as much as digits as its factorization.

800974880784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 800974880784 in words is "eight hundred billion, nine hundred seventy-four million, eight hundred eighty thousand, seven hundred eighty-four".