807880 has 32 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 305856.

The previous prime is 807871. The next prime is 807901. The reversal of 807880 is 88708.

807880 = T₈₀ + T₈₁ + ... + T₁₇₄.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

807880 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, 229 + ... + 1291.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

2⁸⁰⁷⁸⁸⁰ 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 807880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

807880 is an abundant number, since it is smaller than the sum of its proper divisors (1107320).

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

807880 is a wasteful number, since it uses less digits than its factorization.

807880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 807880 is about 898.8214505674. The cubic root of 807880 is about 93.1355790273.

The spelling of 807880 in words is "eight hundred seven thousand, eight hundred eighty".