5788256760 has 720 divisors, whose sum is σ = 23747038920. Its totient is φ = 1253491200.

The previous prime is 5788256741. The next prime is 5788256807. The reversal of 5788256760 is 676528875.

5788256760 is a `hidden beast` number, since 5 + 78 + 8 + 2 + 567 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5788256697 and 5788256706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 186717945 + ... + 186717975.

Almost surely, 2^5788256760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5788256760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873519460).

5788256760 is an abundant number, since it is smaller than the sum of its proper divisors (17958782160).

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

5788256760 is a wasteful number, since it uses less digits than its factorization.

5788256760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5788256760 is about 76080.5938462628. The cubic root of 5788256760 is about 1795.4883678788.

It can be divided in two parts, 578825 and 6760, that added together give a palindrome (585585).

The spelling of 5788256760 in words is "five billion, seven hundred eighty-eight million, two hundred fifty-six thousand, seven hundred sixty".