800938320 has 480 divisors, whose sum is σ = 3229793280. Its totient is φ = 163537920.

The previous prime is 800938319. The next prime is 800938343. The reversal of 800938320 is 23839008.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25836705 + ... + 25836735.

It is an arithmetic number, because the mean of its divisors is an integer number (6728736).

Almost surely, 2^800938320 is an apocalyptic number.

800938320 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 800938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614896640).

800938320 is an abundant number, since it is smaller than the sum of its proper divisors (2428854960).

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

800938320 is a wasteful number, since it uses less digits than its factorization.

800938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 800938320 is about 28300.8536973710. The cubic root of 800938320 is about 928.6805662199.

The spelling of 800938320 in words is "eight hundred million, nine hundred thirty-eight thousand, three hundred twenty".