809966400 has 84 divisors (see below), whose sum is σ = 2657380512. Its totient is φ = 215989760.

The previous prime is 809966351. The next prime is 809966401. The reversal of 809966400 is 4669908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809966401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79572 + ... + 89171.

Almost surely, 2^809966400 is an apocalyptic number.

809966400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809966400 is an abundant number, since it is smaller than the sum of its proper divisors (1847414112).

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

809966400 is a wasteful number, since it uses less digits than its factorization.

809966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168768 (or 168753 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 809966400 is about 28459.9086435638. The cubic root of 809966400 is about 932.1568623472.

The spelling of 809966400 in words is "eight hundred nine million, nine hundred sixty-six thousand, four hundred".