7525760 has 64 divisors (see below), whose sum is σ = 19645200. Its totient is φ = 2734080.

The previous prime is 7525759. The next prime is 7525783. The reversal of 7525760 is 675257.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6506 + ... + 7574.

Almost surely, 2^7525760 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 7525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822600).

7525760 is an abundant number, since it is smaller than the sum of its proper divisors (12119440).

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

7525760 is a wasteful number, since it uses less digits than its factorization.

7525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 7525760 is about 2743.3118670687. The cubic root of 7525760 is about 195.9672303954.

The spelling of 7525760 in words is "seven million, five hundred twenty-five thousand, seven hundred sixty".