5789760 has 112 divisors (see below), whose sum is σ = 18995136. Its totient is φ = 1492992.

The previous prime is 5789759. The next prime is 5789779. The reversal of 5789760 is 679875.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 35439 + ... + 35601.

Almost surely, 2^5789760 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 5789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9497568).

5789760 is an abundant number, since it is smaller than the sum of its proper divisors (13205376).

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

5789760 is a wasteful number, since it uses less digits than its factorization.

5789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5789760 is about 2406.1920122883. The cubic root of 5789760 is about 179.5643786941.

The spelling of 5789760 in words is "five million, seven hundred eighty-nine thousand, seven hundred sixty".