802057032 has 128 divisors (see below), whose sum is σ = 2680320000. Its totient is φ = 217090368.

The previous prime is 802057007. The next prime is 802057037. The reversal of 802057032 is 230750208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 802056987 and 802057005.

It is not an unprimeable number, because it can be changed into a prime (802057037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14769 + ... + 42687.

It is an arithmetic number, because the mean of its divisors is an integer number (20940000).

Almost surely, 2^802057032 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 802057032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340160000).

802057032 is an abundant number, since it is smaller than the sum of its proper divisors (1878262968).

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

802057032 is a wasteful number, since it uses less digits than its factorization.

802057032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27960 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 802057032 is about 28320.6114340775. The cubic root of 802057032 is about 929.1127438027.

The spelling of 802057032 in words is "eight hundred two million, fifty-seven thousand, thirty-two".