800364320 has 96 divisors (see below), whose sum is σ = 2170965888. Its totient is φ = 273143808.

The previous prime is 800364319. The next prime is 800364337. The reversal of 800364320 is 23463008.

800364320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 800364320.

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, 259427 + ... + 262493.

It is an arithmetic number, because the mean of its divisors is an integer number (22614228).

Almost surely, 2^800364320 is an apocalyptic number.

800364320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085482944).

800364320 is an abundant number, since it is smaller than the sum of its proper divisors (1370601568).

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

800364320 is a wasteful number, since it uses less digits than its factorization.

800364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 800364320 is about 28290.7108429605. The cubic root of 800364320 is about 928.4586639735.

The spelling of 800364320 in words is "eight hundred million, three hundred sixty-four thousand, three hundred twenty".