7815680 has 80 divisors (see below), whose sum is σ = 19445184. Its totient is φ = 3010560.

The previous prime is 7815673. The next prime is 7815701. The reversal of 7815680 is 865187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7815680² = 122169707724800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 7815680.

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, 110045 + ... + 110115.

Almost surely, 2^7815680 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 7815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722592).

7815680 is an abundant number, since it is smaller than the sum of its proper divisors (11629504).

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

7815680 is an equidigital number, since it uses as much as digits as its factorization.

7815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 7815680 is about 2795.6537696932. The cubic root of 7815680 is about 198.4520501659.

The spelling of 7815680 in words is "seven million, eight hundred fifteen thousand, six hundred eighty".