807672 has 32 divisors (see below), whose sum is σ = 2051280. Its totient is φ = 264960.

The previous prime is 807647. The next prime is 807689. The reversal of 807672 is 276708.

807672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

807672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522 + ... + 1982.

2⁸⁰⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

807672 is an abundant number, since it is smaller than the sum of its proper divisors (1243608).

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

807672 is a wasteful number, since it uses less digits than its factorization.

807672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 807672 is about 898.7057360449. The cubic root of 807672 is about 93.1275853223.

The spelling of 807672 in words is "eight hundred seven thousand, six hundred seventy-two".