800875368 has 96 divisors (see below), whose sum is σ = 2286484200. Its totient is φ = 252854784.

The previous prime is 800875351. The next prime is 800875373. The reversal of 800875368 is 863578008.

It can be written as a sum of positive squares in 4 ways, for example, as 774063684 + 26811684 = 27822^2 + 5178^2 .

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 23 ways as a sum of consecutive naturals, for example, 107046 + ... + 114282.

Almost surely, 2^800875368 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 800875368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143242100).

800875368 is an abundant number, since it is smaller than the sum of its proper divisors (1485608832).

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

800875368 is a wasteful number, since it uses less digits than its factorization.

800875368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7331 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 800875368 is about 28299.7414829182. The cubic root of 800875368 is about 928.6562348287.

The spelling of 800875368 in words is "eight hundred million, eight hundred seventy-five thousand, three hundred sixty-eight".