871899840 has 336 divisors, whose sum is σ = 3488496960. Its totient is φ = 195747840.

The previous prime is 871899799. The next prime is 871899869. The reversal of 871899840 is 48998178.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229406 + ... + 1230114.

Almost surely, 2^871899840 is an apocalyptic number.

871899840 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 871899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744248480).

871899840 is an abundant number, since it is smaller than the sum of its proper divisors (2616597120).

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

871899840 is a wasteful number, since it uses less digits than its factorization.

871899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 871899840 is about 29527.9501489690. The cubic root of 871899840 is about 955.3346560667.

The spelling of 871899840 in words is "eight hundred seventy-one million, eight hundred ninety-nine thousand, eight hundred forty".