800538 has 16 divisors (see below), whose sum is σ = 1670976. Its totient is φ = 255200.

The previous prime is 800537. The next prime is 800539. The reversal of 800538 is 835008.

800538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800537) and next prime (800539).

It is a super-2 number, since 2×800538² = 1281722178888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (800533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2763 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (104436).

2⁸⁰⁰⁵³⁸ is an apocalyptic number.

800538 is an abundant number, since it is smaller than the sum of its proper divisors (870438).

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

800538 is a wasteful number, since it uses less digits than its factorization.

800538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 800538 is about 894.7278915961. The cubic root of 800538 is about 92.8525817991.

The spelling of 800538 in words is "eight hundred thousand, five hundred thirty-eight".