832803072 has 144 divisors (see below), whose sum is σ = 2365578432. Its totient is φ = 259194880.

The previous prime is 832803047. The next prime is 832803109. The reversal of 832803072 is 270308238.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963572 + ... + 2963852.

It is an arithmetic number, because the mean of its divisors is an integer number (16427628).

Almost surely, 2^832803072 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 832803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182789216).

832803072 is an abundant number, since it is smaller than the sum of its proper divisors (1532775360).

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

832803072 is a wasteful number, since it uses less digits than its factorization.

832803072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 832803072 is about 28858.3276022711. The cubic root of 832803072 is about 940.8363885227.

The spelling of 832803072 in words is "eight hundred thirty-two million, eight hundred three thousand, seventy-two".