7559680 has 40 divisors (see below), whose sum is σ = 18131652. Its totient is φ = 3022848.

The previous prime is 7559659. The next prime is 7559681. The reversal of 7559680 is 869557.

It is a happy number.

7559680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 73984 = 2736^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7559681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1084 + ... + 4036.

Almost surely, 2^7559680 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 7559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065826).

7559680 is an abundant number, since it is smaller than the sum of its proper divisors (10571972).

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

7559680 is an equidigital number, since it uses as much as digits as its factorization.

7559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 7559680 is about 2749.4872249203. The cubic root of 7559680 is about 196.2612094156.

The spelling of 7559680 in words is "seven million, five hundred fifty-nine thousand, six hundred eighty".