800307 has 8 divisors (see below), whose sum is σ = 1185680. Its totient is φ = 533520.

The previous prime is 800291. The next prime is 800311. The reversal of 800307 is 703008.

800307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 800307 - 2⁴ = 800291 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 800307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800307.

It is not an unprimeable number, because it can be changed into a prime (800357) 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, 14794 + ... + 14847.

It is an arithmetic number, because the mean of its divisors is an integer number (148210).

2⁸⁰⁰³⁰⁷ is an apocalyptic number.

800307 is a deficient number, since it is larger than the sum of its proper divisors (385373).

800307 is a wasteful number, since it uses less digits than its factorization.

800307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29650 (or 29644 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 800307 is about 894.5987927557. The cubic root of 800307 is about 92.8436498850.

The spelling of 800307 in words is "eight hundred thousand, three hundred seven".