809923968 has 128 divisors (see below), whose sum is σ = 2731968000. Its totient is φ = 231399936.

The previous prime is 809923943. The next prime is 809923973. The reversal of 809923968 is 869329908.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7453 + ... + 40931.

It is an arithmetic number, because the mean of its divisors is an integer number (21343500).

Almost surely, 2^809923968 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 809923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

809923968 is an abundant number, since it is smaller than the sum of its proper divisors (1922044032).

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

809923968 is a wasteful number, since it uses less digits than its factorization.

809923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33509 (or 33491 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 809923968 is about 28459.1631640848. The cubic root of 809923968 is about 932.1405843177.

The spelling of 809923968 in words is "eight hundred nine million, nine hundred twenty-three thousand, nine hundred sixty-eight".