809290976900 has 36 divisors (see below), whose sum is σ = 2007041624448. Its totient is φ = 277471191840.

The previous prime is 809290976867. The next prime is 809290976903. The reversal of 809290976900 is 9679092908.

It is a super-2 number, since 2×809290976900² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 809290976900.

It is not an unprimeable number, because it can be changed into a prime (809290976903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578064284 + ... + 578065683.

Almost surely, 2^809290976900 is an apocalyptic number.

It is an amenable number.

809290976900 is an abundant number, since it is smaller than the sum of its proper divisors (1197750647548).

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

809290976900 is a wasteful number, since it uses less digits than its factorization.

809290976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156129988 (or 1156129981 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 59.

The spelling of 809290976900 in words is "eight hundred nine billion, two hundred ninety million, nine hundred seventy-six thousand, nine hundred".