800109131680 has 96 divisors (see below), whose sum is σ = 2016059519376. Its totient is φ = 299018747904.

The previous prime is 800109131671. The next prime is 800109131707. The reversal of 800109131680 is 86131901008.

It can be written as a sum of positive squares in 8 ways, for example, as 653245431696 + 146863699984 = 808236^2 + 383228^2 .

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 15 ways as a sum of consecutive naturals, for example, 700929 + ... + 1446208.

Almost surely, 2^800109131680 is an apocalyptic number.

800109131680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800109131680 is an abundant number, since it is smaller than the sum of its proper divisors (1215950387696).

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

800109131680 is a wasteful number, since it uses less digits than its factorization.

800109131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147306 (or 2147298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 800109131680 in words is "eight hundred billion, one hundred nine million, one hundred thirty-one thousand, six hundred eighty".