7688079360 has 960 divisors, whose sum is σ = 31965373440. Its totient is φ = 1751777280.

The previous prime is 7688079359. The next prime is 7688079397. The reversal of 7688079360 is 639708867.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7688079297 and 7688079306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248002545 + ... + 248002575.

It is an arithmetic number, because the mean of its divisors is an integer number (33297264).

Almost surely, 2^7688079360 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 7688079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982686720).

7688079360 is an abundant number, since it is smaller than the sum of its proper divisors (24277294080).

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

7688079360 is a wasteful number, since it uses less digits than its factorization.

7688079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7688079360 is about 87681.6934143040. The cubic root of 7688079360 is about 1973.6612716896.

The spelling of 7688079360 in words is "seven billion, six hundred eighty-eight million, seventy-nine thousand, three hundred sixty".