807872 has 28 divisors (see below), whose sum is σ = 1728216. Its totient is φ = 372480.

The previous prime is 807871. The next prime is 807901. The reversal of 807872 is 278708.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (61722).

2⁸⁰⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864108).

807872 is an abundant number, since it is smaller than the sum of its proper divisors (920344).

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

807872 is a wasteful number, since it uses less digits than its factorization.

807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 807872 is about 898.8170002843. The cubic root of 807872 is about 93.1352716025.

The spelling of 807872 in words is "eight hundred seven thousand, eight hundred seventy-two".