7387680 has 48 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 1969920.

The previous prime is 7387661. The next prime is 7387691. The reversal of 7387680 is 867837.

7387680 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 (48).

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, 7216 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 2^7387680 is an apocalyptic number.

It is an amenable number.

7387680 is an abundant number, since it is smaller than the sum of its proper divisors (15885024).

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

7387680 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7387679) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (15409).

7387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7387680 is about 2718.0286974202. The cubic root of 7387680 is about 194.7613121635.

The spelling of 7387680 in words is "seven million, three hundred eighty-seven thousand, six hundred eighty".