7397680 has 40 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 2923008.

The previous prime is 7397647. The next prime is 7397699. The reversal of 7397680 is 867937.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6601 + ... + 7639.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^7397680 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 7397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

7397680 is an abundant number, since it is smaller than the sum of its proper divisors (10011920).

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

7397680 is a wasteful number, since it uses less digits than its factorization.

7397680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 7397680 is about 2719.8676438386. The cubic root of 7397680 is about 194.8491491667.

The spelling of 7397680 in words is "seven million, three hundred ninety-seven thousand, six hundred eighty".