871880 has 32 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 342720.

The previous prime is 871867. The next prime is 871883. The reversal of 871880 is 88178.

871880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (871883) by changing a digit.

871880 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, 2687 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

2⁸⁷¹⁸⁸⁰ 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 871880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

871880 is an abundant number, since it is smaller than the sum of its proper divisors (1123960).

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

871880 is a wasteful number, since it uses less digits than its factorization.

871880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 871880 is about 933.7451472431. The cubic root of 871880 is about 95.5327409828.

The spelling of 871880 in words is "eight hundred seventy-one thousand, eight hundred eighty".