805872 has 40 divisors (see below), whose sum is σ = 2114944. Its totient is φ = 264384.

The previous prime is 805867. The next prime is 805873. The reversal of 805872 is 278508.

805872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 805872.

It is not an unprimeable number, because it can be changed into a prime (805873) by changing a digit.

805872 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, 4863 + ... + 5025.

2⁸⁰⁵⁸⁷² 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 805872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057472).

805872 is an abundant number, since it is smaller than the sum of its proper divisors (1309072).

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

805872 is a wasteful number, since it uses less digits than its factorization.

805872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 805872 is about 897.7037373209. The cubic root of 805872 is about 93.0583516334.

The spelling of 805872 in words is "eight hundred five thousand, eight hundred seventy-two".