8113324800 has 864 divisors, whose sum is σ = 33504855552. Its totient is φ = 1686896640.

The previous prime is 8113324741. The next prime is 8113324841. The reversal of 8113324800 is 84233118.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 121094367 + ... + 121094433.

It is an arithmetic number, because the mean of its divisors is an integer number (38778768).

Almost surely, 2^8113324800 is an apocalyptic number.

8113324800 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 8113324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752427776).

8113324800 is an abundant number, since it is smaller than the sum of its proper divisors (25391530752).

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

8113324800 is a wasteful number, since it uses less digits than its factorization.

8113324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8113324800 is about 90073.9962475297. The cubic root of 8113324800 is about 2009.3994889332.

Adding to 8113324800 its reverse (84233118), we get a palindrome (8197557918).

The spelling of 8113324800 in words is "eight billion, one hundred thirteen million, three hundred twenty-four thousand, eight hundred".