8123613200 has 90 divisors (see below), whose sum is σ = 20683962414. Its totient is φ = 3055503360.

The previous prime is 8123613161. The next prime is 8123613203. The reversal of 8123613200 is 23163218.

It can be written as a sum of positive squares in 9 ways, for example, as 609497344 + 7514115856 = 24688^2 + 86684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8123613200.

It is not an unprimeable number, because it can be changed into a prime (8123613203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7431854 + ... + 7432946.

Almost surely, 2^8123613200 is an apocalyptic number.

8123613200 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 8123613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341981207).

8123613200 is an abundant number, since it is smaller than the sum of its proper divisors (12560349214).

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

8123613200 is a wasteful number, since it uses less digits than its factorization.

8123613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 8123613200 is about 90131.0889760021. The cubic root of 8123613200 is about 2010.2484944791.

Adding to 8123613200 its reverse (23163218), we get a palindrome (8146776418).

The spelling of 8123613200 in words is "eight billion, one hundred twenty-three million, six hundred thirteen thousand, two hundred".