800696080800 has 1728 divisors, whose sum is σ = 3685264128000. Its totient is φ = 164801433600.

The previous prime is 800696080781. The next prime is 800696080853. The reversal of 800696080800 is 8080696008.

It is a super-2 number, since 2×800696080800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2230351021 + ... + 2230351379.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676000).

Almost surely, 2^800696080800 is an apocalyptic number.

800696080800 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 800696080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842632064000).

800696080800 is an abundant number, since it is smaller than the sum of its proper divisors (2884568047200).

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

800696080800 is a wasteful number, since it uses less digits than its factorization.

800696080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 800696080800 in words is "eight hundred billion, six hundred ninety-six million, eighty thousand, eight hundred".