871844400 has 360 divisors, whose sum is σ = 3579994080. Its totient is φ = 192245760.

The previous prime is 871844387. The next prime is 871844411. The reversal of 871844400 is 4448178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×871844400² = 1520225315622720000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 730204 + ... + 731396.

It is an arithmetic number, because the mean of its divisors is an integer number (9944428).

Almost surely, 2^871844400 is an apocalyptic number.

871844400 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 871844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789997040).

871844400 is an abundant number, since it is smaller than the sum of its proper divisors (2708149680).

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

871844400 is a wasteful number, since it uses less digits than its factorization.

871844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 871844400 is about 29527.0113624796. The cubic root of 871844400 is about 955.3144072287.

The spelling of 871844400 in words is "eight hundred seventy-one million, eight hundred forty-four thousand, four hundred".