871660800 has 324 divisors, whose sum is σ = 3208436140. Its totient is φ = 225607680.

The previous prime is 871660789. The next prime is 871660813. The reversal of 871660800 is 8066178.

871660800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 91240704 + 780420096 = 9552^2 + 27936^2 .

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, 2130996 + ... + 2131404.

Almost surely, 2^871660800 is an apocalyptic number.

871660800 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 871660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604218070).

871660800 is an abundant number, since it is smaller than the sum of its proper divisors (2336775340).

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

871660800 is a wasteful number, since it uses less digits than its factorization.

871660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 871660800 is about 29523.9021811142. The cubic root of 871660800 is about 955.2473432592.

The spelling of 871660800 in words is "eight hundred seventy-one million, six hundred sixty thousand, eight hundred".