7688720 has 40 divisors (see below), whose sum is σ = 19253976. Its totient is φ = 2838528.

The previous prime is 7688687. The next prime is 7688729. The reversal of 7688720 is 278867.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 7661824 = 164^2 + 2768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7688729) 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, 2657 + ... + 4736.

Almost surely, 2^7688720 is an apocalyptic number.

It is an amenable number.

7688720 is an abundant number, since it is smaller than the sum of its proper divisors (11565256).

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

7688720 is a wasteful number, since it uses less digits than its factorization.

7688720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 7688720 is about 2772.8541252652. The cubic root of 7688720 is about 197.3716091243.

The spelling of 7688720 in words is "seven million, six hundred eighty-eight thousand, seven hundred twenty".