5779313600 has 168 divisors, whose sum is σ = 15080284800. Its totient is φ = 2173824000.

The previous prime is 5779313599. The next prime is 5779313611. The reversal of 5779313600 is 63139775.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4589771 + ... + 4591029.

It is an arithmetic number, because the mean of its divisors is an integer number (89763600).

Almost surely, 2^5779313600 is an apocalyptic number.

5779313600 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 5779313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540142400).

5779313600 is an abundant number, since it is smaller than the sum of its proper divisors (9300971200).

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

5779313600 is a wasteful number, since it uses less digits than its factorization.

5779313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 41.

The square root of 5779313600 is about 76021.7968743176. The cubic root of 5779313600 is about 1794.5631833581.

The spelling of 5779313600 in words is "five billion, seven hundred seventy-nine million, three hundred thirteen thousand, six hundred".