7928680 has 32 divisors (see below), whose sum is σ = 17920800. Its totient is φ = 3157056.

The previous prime is 7928671. The next prime is 7928689. The reversal of 7928680 is 868297.

It is an interprime number because it is at equal distance from previous prime (7928671) and next prime (7928689).

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (7928689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14899 + ... + 15421.

It is an arithmetic number, because the mean of its divisors is an integer number (560025).

Almost surely, 2^7928680 is an apocalyptic number.

It is an amenable number.

7928680 is an abundant number, since it is smaller than the sum of its proper divisors (9992120).

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

7928680 is a wasteful number, since it uses less digits than its factorization.

7928680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 7928680 is about 2815.7911854397. The cubic root of 7928680 is about 199.4038917064.

The spelling of 7928680 in words is "seven million, nine hundred twenty-eight thousand, six hundred eighty".