809664160 has 24 divisors (see below), whose sum is σ = 1912831956. Its totient is φ = 323865600.

The previous prime is 809664133. The next prime is 809664161. The reversal of 809664160 is 61466908.

It can be written as a sum of positive squares in 2 ways, for example, as 714172176 + 95491984 = 26724^2 + 9772^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (809664161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2530041 + ... + 2530360.

Almost surely, 2^809664160 is an apocalyptic number.

809664160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809664160 is an abundant number, since it is smaller than the sum of its proper divisors (1103167796).

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

809664160 is a wasteful number, since it uses less digits than its factorization.

809664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060416 (or 5060408 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 809664160 is about 28454.5982224315. The cubic root of 809664160 is about 932.0409027466.

The spelling of 809664160 in words is "eight hundred nine million, six hundred sixty-four thousand, one hundred sixty".