800906 has 12 divisors (see below), whose sum is σ = 1257522. Its totient is φ = 382536.

The previous prime is 800903. The next prime is 800909. The reversal of 800906 is 609008.

It is an interprime number because it is at equal distance from previous prime (800903) and next prime (800909).

It can be written as a sum of positive squares in only one way, i.e., 648025 + 152881 = 805^2 + 391^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (800903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 680 + ... + 1436.

2⁸⁰⁰⁹⁰⁶ is an apocalyptic number.

800906 is a deficient number, since it is larger than the sum of its proper divisors (456616).

800906 is a wasteful number, since it uses less digits than its factorization.

800906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 800906 is about 894.9335170838. The cubic root of 800906 is about 92.8668074472.

The spelling of 800906 in words is "eight hundred thousand, nine hundred six".