5207760 has 80 divisors (see below), whose sum is σ = 17945280. Its totient is φ = 1388160.

The previous prime is 5207749. The next prime is 5207771. The reversal of 5207760 is 677025.

It is an interprime number because it is at equal distance from previous prime (5207749) and next prime (5207771).

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (224316).

Almost surely, 2^5207760 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 5207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972640).

5207760 is an abundant number, since it is smaller than the sum of its proper divisors (12737520).

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

5207760 is a wasteful number, since it uses less digits than its factorization.

5207760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5207760 is about 2282.0517084413. The cubic root of 5207760 is about 173.3339579202. Note that the first 3 decimals are identical.

The spelling of 5207760 in words is "five million, two hundred seven thousand, seven hundred sixty".