8823116400 has 180 divisors, whose sum is σ = 32878031832. Its totient is φ = 2016698880.

The previous prime is 8823116377. The next prime is 8823116413. The reversal of 8823116400 is 46113288.

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, 16227 + ... + 133826.

Almost surely, 2^8823116400 is an apocalyptic number.

8823116400 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 8823116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439015916).

8823116400 is an abundant number, since it is smaller than the sum of its proper divisors (24054915432).

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

8823116400 is a wasteful number, since it uses less digits than its factorization.

8823116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150088 (or 150070 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8823116400 is about 93931.4452140496. The cubic root of 8823116400 is about 2066.3664230265.

Adding to 8823116400 its reverse (46113288), we get a palindrome (8869229688).

The spelling of 8823116400 in words is "eight billion, eight hundred twenty-three million, one hundred sixteen thousand, four hundred".