5813760 has 80 divisors (see below), whose sum is σ = 18610416. Its totient is φ = 1548288.

The previous prime is 5813749. The next prime is 5813761. The reversal of 5813760 is 673185.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7302 + ... + 8058.

Almost surely, 2^5813760 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 5813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305208).

5813760 is an abundant number, since it is smaller than the sum of its proper divisors (12796656).

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

5813760 is an equidigital number, since it uses as much as digits as its factorization.

5813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5813760 is about 2411.1739879154. The cubic root of 5813760 is about 179.8121497042.

The spelling of 5813760 in words is "five million, eight hundred thirteen thousand, seven hundred sixty".