871490880 has 224 divisors, whose sum is σ = 3311347200. Its totient is φ = 214493184.

The previous prime is 871490869. The next prime is 871490881. The reversal of 871490880 is 88094178.

871490880 is a `hidden beast` number, since 87 + 1 + 490 + 8 + 80 = 666.

871490880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871490881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108441 + ... + 116199.

It is an arithmetic number, because the mean of its divisors is an integer number (14782800).

Almost surely, 2^871490880 is an apocalyptic number.

871490880 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 871490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655673600).

871490880 is an abundant number, since it is smaller than the sum of its proper divisors (2439856320).

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

871490880 is a wasteful number, since it uses less digits than its factorization.

871490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 871490880 is about 29521.0243724705. The cubic root of 871490880 is about 955.1852678216.

The spelling of 871490880 in words is "eight hundred seventy-one million, four hundred ninety thousand, eight hundred eighty".