809320512 has 224 divisors, whose sum is σ = 2875751424. Its totient is φ = 193996800.

The previous prime is 809320493. The next prime is 809320529. The reversal of 809320512 is 215023908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×809320512² = 1309999382287884288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 809320512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190087 + ... + 194297.

It is an arithmetic number, because the mean of its divisors is an integer number (12838176).

Almost surely, 2^809320512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437875712).

809320512 is an abundant number, since it is smaller than the sum of its proper divisors (2066430912).

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

809320512 is a wasteful number, since it uses less digits than its factorization.

809320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 809320512 is about 28448.5590496250. The cubic root of 809320512 is about 931.9090211867.

The spelling of 809320512 in words is "eight hundred nine million, three hundred twenty thousand, five hundred twelve".