5777745600 has 336 divisors, whose sum is σ = 20976336000. Its totient is φ = 1380556800.

The previous prime is 5777745541. The next prime is 5777745671. The reversal of 5777745600 is 65477775.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5777745600.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3853651 + ... + 3855149.

Almost surely, 2^5777745600 is an apocalyptic number.

5777745600 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 5777745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488168000).

5777745600 is an abundant number, since it is smaller than the sum of its proper divisors (15198590400).

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

5777745600 is a wasteful number, since it uses less digits than its factorization.

5777745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1440600, while the sum is 48.

The square root of 5777745600 is about 76011.4833429792. The cubic root of 5777745600 is about 1794.4008728725.

The spelling of 5777745600 in words is "five billion, seven hundred seventy-seven million, seven hundred forty-five thousand, six hundred".