809628160 has 80 divisors (see below), whose sum is σ = 2117757312. Its totient is φ = 294400000.

The previous prime is 809628151. The next prime is 809628199. The reversal of 809628160 is 61826908.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13785 + ... + 42535.

Almost surely, 2^809628160 is an apocalyptic number.

809628160 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 809628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058878656).

809628160 is an abundant number, since it is smaller than the sum of its proper divisors (1308129152).

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

809628160 is a wasteful number, since it uses less digits than its factorization.

809628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28785 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 809628160 is about 28453.9656287133. The cubic root of 809628160 is about 932.0270888011.

The spelling of 809628160 in words is "eight hundred nine million, six hundred twenty-eight thousand, one hundred sixty".