8768995200 has 768 divisors, whose sum is σ = 37336896000. Its totient is φ = 1993144320.

The previous prime is 8768995189. The next prime is 8768995201. The reversal of 8768995200 is 25998678.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768995201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48988711 + ... + 48988889.

It is an arithmetic number, because the mean of its divisors is an integer number (48615750).

Almost surely, 2^8768995200 is an apocalyptic number.

8768995200 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 8768995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668448000).

8768995200 is an abundant number, since it is smaller than the sum of its proper divisors (28567900800).

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

8768995200 is an equidigital number, since it uses as much as digits as its factorization.

8768995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8768995200 is about 93642.9132396040. The cubic root of 8768995200 is about 2062.1327081499.

The spelling of 8768995200 in words is "eight billion, seven hundred sixty-eight million, nine hundred ninety-five thousand, two hundred".