832803264 has 84 divisors (see below), whose sum is σ = 2395270800. Its totient is φ = 276648960.

The previous prime is 832803253. The next prime is 832803281. The reversal of 832803264 is 462308238.

832803264 is a `hidden beast` number, since 8 + 328 + 0 + 326 + 4 = 666.

It is a super-2 number, since 2×832803264² = 1387122553058107392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176812 + ... + 181460.

Almost surely, 2^832803264 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 832803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197635400).

832803264 is an abundant number, since it is smaller than the sum of its proper divisors (1562467536).

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

832803264 is a wasteful number, since it uses less digits than its factorization.

832803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 832803264 is about 28858.3309288670. The cubic root of 832803264 is about 940.8364608249.

The spelling of 832803264 in words is "eight hundred thirty-two million, eight hundred three thousand, two hundred sixty-four".