871505680 has 160 divisors (see below), whose sum is σ = 2338243200. Its totient is φ = 299851776.

The previous prime is 871505671. The next prime is 871505681. The reversal of 871505680 is 86505178.

871505680 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 (40).

It is not an unprimeable number, because it can be changed into a prime (871505681) 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, 748779 + ... + 749941.

It is an arithmetic number, because the mean of its divisors is an integer number (14614020).

Almost surely, 2^871505680 is an apocalyptic number.

871505680 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 871505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169121600).

871505680 is an abundant number, since it is smaller than the sum of its proper divisors (1466737520).

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

871505680 is a wasteful number, since it uses less digits than its factorization.

871505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 871505680 is about 29521.2750402146. The cubic root of 871505680 is about 955.1906749013.

The spelling of 871505680 in words is "eight hundred seventy-one million, five hundred five thousand, six hundred eighty".