5768992800 has 288 divisors, whose sum is σ = 21964219200. Its totient is φ = 1457326080.

The previous prime is 5768992799. The next prime is 5768992837. The reversal of 5768992800 is 82998675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403372 + ... + 417428.

It is an arithmetic number, because the mean of its divisors is an integer number (76264650).

Almost surely, 2^5768992800 is an apocalyptic number.

5768992800 is a gapful number since it is divisible by the number (50) 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 5768992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982109600).

5768992800 is an abundant number, since it is smaller than the sum of its proper divisors (16195226400).

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

5768992800 is a wasteful number, since it uses less digits than its factorization.

5768992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105 (or 14086 counting only the distinct ones).

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

The square root of 5768992800 is about 75953.8860098679. The cubic root of 5768992800 is about 1793.4942926458.

The spelling of 5768992800 in words is "five billion, seven hundred sixty-eight million, nine hundred ninety-two thousand, eight hundred".