827880 has 32 divisors (see below), whose sum is σ = 2484000. Its totient is φ = 220736.

The previous prime is 827873. The next prime is 827899. The reversal of 827880 is 88728.

827880 = T₁₀₂ + T₁₀₃ + ... + T₁₈₁.

It is an unprimeable number.

827880 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, 3330 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (77625).

2⁸²⁷⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

827880 is an abundant number, since it is smaller than the sum of its proper divisors (1656120).

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

827880 is a wasteful number, since it uses less digits than its factorization.

827880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 827880 is about 909.8791128496. The cubic root of 827880 is about 93.8978821621.

The spelling of 827880 in words is "eight hundred twenty-seven thousand, eight hundred eighty".