807971328 has 160 divisors (see below), whose sum is σ = 2411661120. Its totient is φ = 267079680.

The previous prime is 807971327. The next prime is 807971363. The reversal of 807971328 is 823179708.

It is not an unprimeable number, because it can be changed into a prime (807971323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916726 + ... + 2917002.

It is an arithmetic number, because the mean of its divisors is an integer number (15072882).

Almost surely, 2^807971328 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 807971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205830560).

807971328 is an abundant number, since it is smaller than the sum of its proper divisors (1603689792).

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

807971328 is a wasteful number, since it uses less digits than its factorization.

807971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 807971328 is about 28424.8364639095. The cubic root of 807971328 is about 931.3908844522.

The spelling of 807971328 in words is "eight hundred seven million, nine hundred seventy-one thousand, three hundred twenty-eight".