871788960 has 384 divisors, whose sum is σ = 3530096640. Its totient is φ = 196826112.

The previous prime is 871788949. The next prime is 871788961. The reversal of 871788960 is 69887178.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 871788897 and 871788906.

It is not an unprimeable number, because it can be changed into a prime (871788961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840367 + ... + 3840593.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^871788960 is an apocalyptic number.

871788960 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 871788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

871788960 is an abundant number, since it is smaller than the sum of its proper divisors (2658307680).

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

871788960 is a wasteful number, since it uses less digits than its factorization.

871788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 871788960 is about 29526.0725461413. The cubic root of 871788960 is about 955.2941575322.

The spelling of 871788960 in words is "eight hundred seventy-one million, seven hundred eighty-eight thousand, nine hundred sixty".