7411680 has 72 divisors (see below), whose sum is σ = 25297272. Its totient is φ = 1976064.

The previous prime is 7411669. The next prime is 7411687. The reversal of 7411680 is 861147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7411687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (351351).

Almost surely, 2^7411680 is an apocalyptic number.

It is an amenable number.

7411680 is an abundant number, since it is smaller than the sum of its proper divisors (17885592).

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

7411680 is a wasteful number, since it uses less digits than its factorization.

7411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7411680 is about 2722.4400819853. The cubic root of 7411680 is about 194.9719880867.

The spelling of 7411680 in words is "seven million, four hundred eleven thousand, six hundred eighty".