800807 has 12 divisors (see below), whose sum is σ = 950760. Its totient is φ = 672336.

The previous prime is 800801. The next prime is 800861. The reversal of 800807 is 708008.

It is not a de Polignac number, because 800807 - 2⁶ = 800743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2753 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (79230).

2⁸⁰⁰⁸⁰⁷ is an apocalyptic number.

800807 is a deficient number, since it is larger than the sum of its proper divisors (149953).

800807 is a wasteful number, since it uses less digits than its factorization.

800807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 800807 is about 894.8782040032. The cubic root of 800807 is about 92.8629808671.

The spelling of 800807 in words is "eight hundred thousand, eight hundred seven".