5801760 has 192 divisors, whose sum is σ = 21772800. Its totient is φ = 1437696.

The previous prime is 5801753. The next prime is 5801797. The reversal of 5801760 is 671085.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73401 + ... + 73479.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^5801760 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 5801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

5801760 is an abundant number, since it is smaller than the sum of its proper divisors (15971040).

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

5801760 is a wasteful number, since it uses less digits than its factorization.

5801760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5801760 is about 2408.6842881540. The cubic root of 5801760 is about 179.6883496116.

It can be divided in two parts, 5801 and 760, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5801760 in words is "five million, eight hundred one thousand, seven hundred sixty".