871610880 has 320 divisors, whose sum is σ = 3293503488. Its totient is φ = 192430080.

The previous prime is 871610879. The next prime is 871610891. The reversal of 871610880 is 88016178.

871610880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×871610880² = 1519411052268748800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666299 + ... + 1666821.

Almost surely, 2^871610880 is an apocalyptic number.

871610880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646751744).

871610880 is an abundant number, since it is smaller than the sum of its proper divisors (2421892608).

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

871610880 is a wasteful number, since it uses less digits than its factorization.

871610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 871610880 is about 29523.0567523080. The cubic root of 871610880 is about 955.2291072444.

The spelling of 871610880 in words is "eight hundred seventy-one million, six hundred ten thousand, eight hundred eighty".