5768755200 has 720 divisors, whose sum is σ = 23224841640. Its totient is φ = 1406730240.

The previous prime is 5768755199. The next prime is 5768755207. The reversal of 5768755200 is 25578675.

5768755200 is a `hidden beast` number, since 57 + 6 + 8 + 75 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768755207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913547 + ... + 53913653.

Almost surely, 2^5768755200 is an apocalyptic number.

5768755200 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 5768755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612420820).

5768755200 is an abundant number, since it is smaller than the sum of its proper divisors (17456086440).

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

5768755200 is a wasteful number, since it uses less digits than its factorization.

5768755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5768755200 is about 75952.3218868258. The cubic root of 5768755200 is about 1793.4696702025.

The spelling of 5768755200 in words is "five billion, seven hundred sixty-eight million, seven hundred fifty-five thousand, two hundred".