871628800 has 228 divisors, whose sum is σ = 2600463520. Its totient is φ = 283115520.

The previous prime is 871628789. The next prime is 871628809. The reversal of 871628800 is 8826178.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871628809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45875191 + ... + 45875209.

Almost surely, 2^871628800 is an apocalyptic number.

871628800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

871628800 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300231760).

871628800 is an abundant number, since it is smaller than the sum of its proper divisors (1728834720).

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

871628800 is an frugal number, since it uses more digits than its factorization.

871628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 871628800 is about 29523.3602423572. The cubic root of 871628800 is about 955.2356535862.

The spelling of 871628800 in words is "eight hundred seventy-one million, six hundred twenty-eight thousand, eight hundred".