800312832 has 320 divisors, whose sum is σ = 2730182400. Its totient is φ = 228925440.

The previous prime is 800312803. The next prime is 800312857. The reversal of 800312832 is 238213008.

800312832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 800312796 and 800312805.

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, 2889078 + ... + 2889354.

It is an arithmetic number, because the mean of its divisors is an integer number (8531820).

Almost surely, 2^800312832 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 800312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365091200).

800312832 is an abundant number, since it is smaller than the sum of its proper divisors (1929869568).

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

800312832 is a wasteful number, since it uses less digits than its factorization.

800312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 800312832 is about 28289.8008476553. The cubic root of 800312832 is about 928.4387540801.

The spelling of 800312832 in words is "eight hundred million, three hundred twelve thousand, eight hundred thirty-two".