800813064960 has 864 divisors, whose sum is σ = 2997423636480. Its totient is φ = 196676812800.

The previous prime is 800813064959. The next prime is 800813064967. The reversal of 800813064960 is 69460318008.

800813064960 is a `hidden beast` number, since 80 + 0 + 81 + 3 + 0 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (800813064967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2955029625 + ... + 2955029895.

It is an arithmetic number, because the mean of its divisors is an integer number (3469240320).

Almost surely, 2^800813064960 is an apocalyptic number.

800813064960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800813064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498711818240).

800813064960 is an abundant number, since it is smaller than the sum of its proper divisors (2196610571520).

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

800813064960 is a wasteful number, since it uses less digits than its factorization.

800813064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 800813064960 in words is "eight hundred billion, eight hundred thirteen million, sixty-four thousand, nine hundred sixty".