800309376 has 64 divisors (see below), whose sum is σ = 2362034400. Its totient is φ = 266768640.

The previous prime is 800309359. The next prime is 800309399. The reversal of 800309376 is 673903008.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 800309376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112330 + ... + 119241.

Almost surely, 2^800309376 is an apocalyptic number.

It is an amenable number.

800309376 is an abundant number, since it is smaller than the sum of its proper divisors (1561725024).

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

800309376 is a wasteful number, since it uses less digits than its factorization.

800309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231594 (or 231576 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 800309376 is about 28289.7397655051. The cubic root of 800309376 is about 928.4374176490.

The spelling of 800309376 in words is "eight hundred million, three hundred nine thousand, three hundred seventy-six".