7641680 has 40 divisors (see below), whose sum is σ = 18079200. Its totient is φ = 3003008.

The previous prime is 7641679. The next prime is 7641691. The reversal of 7641680 is 861467.

7641680 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 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, 3911 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 2^7641680 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 7641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039600).

7641680 is an abundant number, since it is smaller than the sum of its proper divisors (10437520).

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

7641680 is a wasteful number, since it uses less digits than its factorization.

7641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7641680 is about 2764.3588768465. The cubic root of 7641680 is about 196.9682754449.

The spelling of 7641680 in words is "seven million, six hundred forty-one thousand, six hundred eighty".