8120313600 has 432 divisors, whose sum is σ = 31631308800. Its totient is φ = 1795276800.

The previous prime is 8120313583. The next prime is 8120313611. The reversal of 8120313600 is 63130218.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4165426 + ... + 4167374.

Almost surely, 2^8120313600 is an apocalyptic number.

8120313600 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 8120313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815654400).

8120313600 is an abundant number, since it is smaller than the sum of its proper divisors (23510995200).

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

8120313600 is a wasteful number, since it uses less digits than its factorization.

8120313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 8120313600 is about 90112.7826670556. The cubic root of 8120313600 is about 2009.9762874359.

Adding to 8120313600 its reverse (63130218), we get a palindrome (8183443818).

The spelling of 8120313600 in words is "eight billion, one hundred twenty million, three hundred thirteen thousand, six hundred".