871085760 has 224 divisors, whose sum is σ = 2909986560. Its totient is φ = 220459008.

The previous prime is 871085759. The next prime is 871085767. The reversal of 871085760 is 67580178.

It is not an unprimeable number, because it can be changed into a prime (871085767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865047 + ... + 1865513.

Almost surely, 2^871085760 is an apocalyptic number.

871085760 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 871085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

871085760 is an abundant number, since it is smaller than the sum of its proper divisors (2038900800).

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

871085760 is a wasteful number, since it uses less digits than its factorization.

871085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 871085760 is about 29514.1620243571. The cubic root of 871085760 is about 955.0372361969.

The spelling of 871085760 in words is "eight hundred seventy-one million, eighty-five thousand, seven hundred sixty".