800832120 has 128 divisors (see below), whose sum is σ = 2670589440. Its totient is φ = 190461440.

The previous prime is 800832061. The next prime is 800832133. The reversal of 800832120 is 21238008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64237 + ... + 75683.

It is an arithmetic number, because the mean of its divisors is an integer number (20863980).

Almost surely, 2^800832120 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 800832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335294720).

800832120 is an abundant number, since it is smaller than the sum of its proper divisors (1869757320).

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

800832120 is a wasteful number, since it uses less digits than its factorization.

800832120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 800832120 is about 28298.9773666824. The cubic root of 800832120 is about 928.6395184333.

The spelling of 800832120 in words is "eight hundred million, eight hundred thirty-two thousand, one hundred twenty".