7680680 has 32 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 2633280.

The previous prime is 7680677. The next prime is 7680691. The reversal of 7680680 is 860867.

7680680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7680680.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13436 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 2^7680680 is an apocalyptic number.

7680680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7680680 is an abundant number, since it is smaller than the sum of its proper divisors (12070360).

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

7680680 is a wasteful number, since it uses less digits than its factorization.

7680680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27449 (or 27445 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 7680680 is about 2771.4039763268. The cubic root of 7680680 is about 197.3027887753.

The spelling of 7680680 in words is "seven million, six hundred eighty thousand, six hundred eighty".