800817761680 has 20 divisors (see below), whose sum is σ = 1861901296092. Its totient is φ = 320327104640.

The previous prime is 800817761671. The next prime is 800817761699. The reversal of 800817761680 is 86167718008.

800817761680 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 2 ways, for example, as 462503365776 + 338314395904 = 680076^2 + 581648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005110931 + ... + 5005111090.

Almost surely, 2^800817761680 is an apocalyptic number.

800817761680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800817761680 is an abundant number, since it is smaller than the sum of its proper divisors (1061083534412).

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

800817761680 is a wasteful number, since it uses less digits than its factorization.

800817761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010222034 (or 10010222028 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 800817761680 in words is "eight hundred billion, eight hundred seventeen million, seven hundred sixty-one thousand, six hundred eighty".