7688080 has 40 divisors (see below), whose sum is σ = 18929592. Its totient is φ = 2893824.

The previous prime is 7688077. The next prime is 7688101. The reversal of 7688080 is 808867.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 5089536 = 1612^2 + 2256^2 .

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

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, 1467 + ... + 4186.

Almost surely, 2^7688080 is an apocalyptic number.

It is an amenable number.

7688080 is an abundant number, since it is smaller than the sum of its proper divisors (11241512).

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

7688080 is a wasteful number, since it uses less digits than its factorization.

7688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 7688080 is about 2772.7387183072. The cubic root of 7688080 is about 197.3661326456.

It can be divided in two parts, 76880 and 80, that multiplied together give a square (6150400 = 2480²).

The spelling of 7688080 in words is "seven million, six hundred eighty-eight thousand, eighty".