7968768 has 48 divisors (see below), whose sum is σ = 21261240. Its totient is φ = 2654208.

The previous prime is 7968761. The next prime is 7968769. The reversal of 7968768 is 8678697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7968768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5496 + ... + 6792.

Almost surely, 2^7968768 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 7968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630620).

7968768 is an abundant number, since it is smaller than the sum of its proper divisors (13292472).

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

7968768 is a wasteful number, since it uses less digits than its factorization.

7968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1302 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 7968768 is about 2822.9006358708. The cubic root of 7968768 is about 199.7393939031.

The spelling of 7968768 in words is "seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".