5780576256 has 384 divisors, whose sum is σ = 19446336000. Its totient is φ = 1517322240.

The previous prime is 5780576237. The next prime is 5780576273. The reversal of 5780576256 is 6526750875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5780576199 and 5780576208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27395991 + ... + 27396201.

It is an arithmetic number, because the mean of its divisors is an integer number (50641500).

Almost surely, 2^5780576256 is an apocalyptic number.

5780576256 is a gapful number since it is divisible by the number (56) 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 5780576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723168000).

5780576256 is an abundant number, since it is smaller than the sum of its proper divisors (13665759744).

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

5780576256 is a wasteful number, since it uses less digits than its factorization.

5780576256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The square root of 5780576256 is about 76030.1009863856. The cubic root of 5780576256 is about 1794.6938650232.

The spelling of 5780576256 in words is "five billion, seven hundred eighty million, five hundred seventy-six thousand, two hundred fifty-six".