807309 has 12 divisors (see below), whose sum is σ = 1173952. Its totient is φ = 534600.

The previous prime is 807299. The next prime is 807337. The reversal of 807309 is 903708.

It is a happy number.

It is not a de Polignac number, because 807309 - 2⁷ = 807181 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 807309.

It is not an unprimeable number, because it can be changed into a prime (807379) 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, 2274 + ... + 2604.

2⁸⁰⁷³⁰⁹ is an apocalyptic number.

It is an amenable number.

807309 is a deficient number, since it is larger than the sum of its proper divisors (366643).

807309 is a wasteful number, since it uses less digits than its factorization.

807309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 807309 is about 898.5037562526. The cubic root of 807309 is about 93.1136314816.

The spelling of 807309 in words is "eight hundred seven thousand, three hundred nine".