871830900 has 108 divisors (see below), whose sum is σ = 2746254784. Its totient is φ = 231336000.

The previous prime is 871830823. The next prime is 871830919. The reversal of 871830900 is 9038178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187605 + ... + 192195.

Almost surely, 2^871830900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871830900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373127392).

871830900 is an abundant number, since it is smaller than the sum of its proper divisors (1874423884).

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

871830900 is a wasteful number, since it uses less digits than its factorization.

871830900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 871830900 is about 29526.7827573544. The cubic root of 871830900 is about 955.3094763752.

The spelling of 871830900 in words is "eight hundred seventy-one million, eight hundred thirty thousand, nine hundred".