5778777600 has 480 divisors, whose sum is σ = 22163581440. Its totient is φ = 1471979520.

The previous prime is 5778777593. The next prime is 5778777661. The reversal of 5778777600 is 67778775.

5778777600 is a `hidden beast` number, since 577 + 8 + 7 + 7 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7948437 + ... + 7949163.

It is an arithmetic number, because the mean of its divisors is an integer number (46174128).

Almost surely, 2^5778777600 is an apocalyptic number.

5778777600 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 5778777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081790720).

5778777600 is an abundant number, since it is smaller than the sum of its proper divisors (16384803840).

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

5778777600 is a wasteful number, since it uses less digits than its factorization.

5778777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 54.

The square root of 5778777600 is about 76018.2714878469. The cubic root of 5778777600 is about 1794.5077029746.

The spelling of 5778777600 in words is "five billion, seven hundred seventy-eight million, seven hundred seventy-seven thousand, six hundred".