8013324800 has 120 divisors (see below), whose sum is σ = 21381285156. Its totient is φ = 2958704640.

The previous prime is 8013324797. The next prime is 8013324857. The reversal of 8013324800 is 84233108.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3939821824 + 4073502976 = 62768^2 + 63824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142322 + ... + 190478.

Almost surely, 2^8013324800 is an apocalyptic number.

8013324800 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 8013324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690642578).

8013324800 is an abundant number, since it is smaller than the sum of its proper divisors (13367960356).

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

8013324800 is a wasteful number, since it uses less digits than its factorization.

8013324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48198 (or 48177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 8013324800 is about 89517.1760055019. The cubic root of 8013324800 is about 2001.1097840757.

Adding to 8013324800 its reverse (84233108), we get a palindrome (8097557908).

The spelling of 8013324800 in words is "eight billion, thirteen million, three hundred twenty-four thousand, eight hundred".