808033920 has 64 divisors (see below), whose sum is σ = 2575614240. Its totient is φ = 215475200.

The previous prime is 808033913. The next prime is 808033921. The reversal of 808033920 is 29330808.

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

It is not an unprimeable number, because it can be changed into a prime (808033921) 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 7 ways as a sum of consecutive naturals, for example, 208506 + ... + 212345.

Almost surely, 2^808033920 is an apocalyptic number.

808033920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808033920 is an abundant number, since it is smaller than the sum of its proper divisors (1767580320).

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

808033920 is a wasteful number, since it uses less digits than its factorization.

808033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420873 (or 420861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 808033920 is about 28425.9374515600. The cubic root of 808033920 is about 931.4149348571.

The spelling of 808033920 in words is "eight hundred eight million, thirty-three thousand, nine hundred twenty".