809904876795 has 36 divisors (see below), whose sum is σ = 1633032694800. Its totient is φ = 370242228384.

The previous prime is 809904876787. The next prime is 809904876827. The reversal of 809904876795 is 597678409908.

809904876795 is a `hidden beast` number, since 80 + 9 + 9 + 0 + 487 + 67 + 9 + 5 = 666.

It is not a de Polignac number, because 809904876795 - 2³ = 809904876787 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183649695 + ... + 183654104.

It is an arithmetic number, because the mean of its divisors is an integer number (45362019300).

Almost surely, 2^809904876795 is an apocalyptic number.

809904876795 is an abundant number, since it is smaller than the sum of its proper divisors (823127818005).

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

809904876795 is a wasteful number, since it uses less digits than its factorization.

809904876795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367303824 (or 367303814 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 809904876795 in words is "eight hundred nine billion, nine hundred four million, eight hundred seventy-six thousand, seven hundred ninety-five".