8871319800 has 384 divisors, whose sum is σ = 35871513600. Its totient is φ = 1972615680.

The previous prime is 8871319799. The next prime is 8871319823. The reversal of 8871319800 is 89131788.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395429 + ... + 1401771.

It is an arithmetic number, because the mean of its divisors is an integer number (93415400).

Almost surely, 2^8871319800 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 8871319800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17935756800).

8871319800 is an abundant number, since it is smaller than the sum of its proper divisors (27000193800).

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

8871319800 is a wasteful number, since it uses less digits than its factorization.

8871319800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 8871319800 is about 94187.6839082478. The cubic root of 8871319800 is about 2070.1226560380.

The spelling of 8871319800 in words is "eight billion, eight hundred seventy-one million, three hundred nineteen thousand, eight hundred".