8224800768 has 144 divisors (see below), whose sum is σ = 23903301435. Its totient is φ = 2725183488.

The previous prime is 8224800763. The next prime is 8224800799. The reversal of 8224800768 is 8670084228.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4112400384 + 4112400384 = 64128^2 + 64128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=64128.

It is not an unprimeable number, because it can be changed into a prime (8224800763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49250221 + ... + 49250387.

Almost surely, 2^8224800768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8224800768

8224800768 is an abundant number, since it is smaller than the sum of its proper divisors (15678500667).

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

8224800768 is an frugal number, since it uses more digits than its factorization.

8224800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8224800768 is about 90690.6873278618. The cubic root of 8224800768 is about 2018.5606162565.

The spelling of 8224800768 in words is "eight billion, two hundred twenty-four million, eight hundred thousand, seven hundred sixty-eight".