808007328 has 72 divisors (see below), whose sum is σ = 2301088608. Its totient is φ = 268947072.

The previous prime is 808007311. The next prime is 808007353. The reversal of 808007328 is 823700808.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 808007292 and 808007301.

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 11 ways as a sum of consecutive naturals, for example, 253875 + ... + 257037.

It is an arithmetic number, because the mean of its divisors is an integer number (31959564).

Almost surely, 2^808007328 is an apocalyptic number.

It is an amenable number.

808007328 is an abundant number, since it is smaller than the sum of its proper divisors (1493081280).

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

808007328 is a wasteful number, since it uses less digits than its factorization.

808007328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 808007328 is about 28425.4697058817. The cubic root of 808007328 is about 931.4047172755.

The spelling of 808007328 in words is "eight hundred eight million, seven thousand, three hundred twenty-eight".