809902368 has 288 divisors, whose sum is σ = 2659829760. Its totient is φ = 239500800.

The previous prime is 809902351. The next prime is 809902393. The reversal of 809902368 is 863209908.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6377121 + ... + 6377247.

It is an arithmetic number, because the mean of its divisors is an integer number (9235520).

Almost surely, 2^809902368 is an apocalyptic number.

809902368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809902368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

809902368 is an abundant number, since it is smaller than the sum of its proper divisors (1849927392).

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

809902368 is a wasteful number, since it uses less digits than its factorization.

809902368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 809902368 is about 28458.7836704241. The cubic root of 809902368 is about 932.1322977722.

The spelling of 809902368 in words is "eight hundred nine million, nine hundred two thousand, three hundred sixty-eight".