7409680 has 40 divisors (see below), whose sum is σ = 17980992. Its totient is φ = 2834304.

The previous prime is 7409669. The next prime is 7409737. The reversal of 7409680 is 869047.

7409680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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, 174 + ... + 3853.

Almost surely, 2^7409680 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 7409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990496).

7409680 is an abundant number, since it is smaller than the sum of its proper divisors (10571312).

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

7409680 is a wasteful number, since it uses less digits than its factorization.

7409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 7409680 is about 2722.0727396600. The cubic root of 7409680 is about 194.9544491456.

The spelling of 7409680 in words is "seven million, four hundred nine thousand, six hundred eighty".