871855200 has 324 divisors, whose sum is σ = 3273657660. Its totient is φ = 218296320.

The previous prime is 871855151. The next prime is 871855207. The reversal of 871855200 is 2558178.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871855207) 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 53 ways as a sum of consecutive naturals, for example, 2080591 + ... + 2081009.

Almost surely, 2^871855200 is an apocalyptic number.

871855200 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 871855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636828830).

871855200 is an abundant number, since it is smaller than the sum of its proper divisors (2401802460).

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

871855200 is a wasteful number, since it uses less digits than its factorization.

871855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 871855200 is about 29527.1942453055. The cubic root of 871855200 is about 955.3183518748.

The spelling of 871855200 in words is "eight hundred seventy-one million, eight hundred fifty-five thousand, two hundred".