7668768 has 96 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2322432.

The previous prime is 7668757. The next prime is 7668823. The reversal of 7668768 is 8678667.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60321 + ... + 60447.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^7668768 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 7668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

7668768 is an abundant number, since it is smaller than the sum of its proper divisors (14394336).

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

7668768 is a wasteful number, since it uses less digits than its factorization.

7668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 7668768 is about 2769.2540511842. The cubic root of 7668768 is about 197.2007367485.

The spelling of 7668768 in words is "seven million, six hundred sixty-eight thousand, seven hundred sixty-eight".