5785760 has 24 divisors (see below), whose sum is σ = 13669236. Its totient is φ = 2314240.

The previous prime is 5785757. The next prime is 5785771. The reversal of 5785760 is 675875.

It can be written as a sum of positive squares in 2 ways, for example, as 5740816 + 44944 = 2396^2 + 212^2 .

It is a d-powerful number, because it can be written as 5² + 7⁵ + 8⁴ + 5² + 7⁸ + 6 + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17921 + ... + 18240.

Almost surely, 2^5785760 is an apocalyptic number.

It is an amenable number.

5785760 is an abundant number, since it is smaller than the sum of its proper divisors (7883476).

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

5785760 is a wasteful number, since it uses less digits than its factorization.

5785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36176 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 5785760 is about 2405.3606798150. The cubic root of 5785760 is about 179.5230169919.

The spelling of 5785760 in words is "five million, seven hundred eighty-five thousand, seven hundred sixty".