5875760 has 60 divisors (see below), whose sum is σ = 15040704. Its totient is φ = 2133120.

The previous prime is 5875757. The next prime is 5875763. The reversal of 5875760 is 675785.

It is an interprime number because it is at equal distance from previous prime (5875757) and next prime (5875763).

It is not an unprimeable number, because it can be changed into a prime (5875763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9377 + ... + 9983.

Almost surely, 2^5875760 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 5875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520352).

5875760 is an abundant number, since it is smaller than the sum of its proper divisors (9164944).

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

5875760 is a wasteful number, since it uses less digits than its factorization.

5875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

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

The square root of 5875760 is about 2423.9966996677. The cubic root of 5875760 is about 180.4490844029.

The spelling of 5875760 in words is "five million, eight hundred seventy-five thousand, seven hundred sixty".