800688 has 40 divisors (see below), whose sum is σ = 2364928. Its totient is φ = 228672.

The previous prime is 800687. The next prime is 800693. The reversal of 800688 is 886008.

800688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×800688² = 1282202546688, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800688.

It is not an unprimeable number, because it can be changed into a prime (800687) 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, 856 + ... + 1527.

2⁸⁰⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

800688 is an abundant number, since it is smaller than the sum of its proper divisors (1564240).

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

800688 is a wasteful number, since it uses less digits than its factorization.

800688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 800688 is about 894.8117120378. The cubic root of 800688 is about 92.8583808232.

The spelling of 800688 in words is "eight hundred thousand, six hundred eighty-eight".