807345 has 48 divisors (see below), whose sum is σ = 1752192. Its totient is φ = 334080.

The previous prime is 807337. The next prime is 807371. The reversal of 807345 is 543708.

It is not a de Polignac number, because 807345 - 2³ = 807337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349 + ... + 3581.

It is an arithmetic number, because the mean of its divisors is an integer number (36504).

2⁸⁰⁷³⁴⁵ is an apocalyptic number.

It is an amenable number.

807345 is an abundant number, since it is smaller than the sum of its proper divisors (944847).

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

807345 is a wasteful number, since it uses less digits than its factorization.

807345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 807345 is about 898.5237893345. The cubic root of 807345 is about 93.1150155204.

It can be divided in two parts, 8073 and 45, that added together give a palindrome (8118).

The spelling of 807345 in words is "eight hundred seven thousand, three hundred forty-five".