5795760 has 160 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1382400.

The previous prime is 5795753. The next prime is 5795767. The reversal of 5795760 is 675975.

5795760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5795753) and next prime (5795767).

It is not an unprimeable number, because it can be changed into a prime (5795767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141340 + ... + 141380.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^5795760 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 5795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

5795760 is an abundant number, since it is smaller than the sum of its proper divisors (14202960).

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

5795760 is a wasteful number, since it uses less digits than its factorization.

5795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 5795760 is about 2407.4384727340. The cubic root of 5795760 is about 179.6263855428.

It can be divided in two parts, 5795 and 760, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 5795760 in words is "five million, seven hundred ninety-five thousand, seven hundred sixty".