7664768 has 32 divisors (see below), whose sum is σ = 15394860. Its totient is φ = 3801088.

The previous prime is 7664753. The next prime is 7664791. The reversal of 7664768 is 8674667.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 222784 = 2728^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (338688) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29696 + ... + 29952.

Almost surely, 2^7664768 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 7664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697430).

7664768 is an abundant number, since it is smaller than the sum of its proper divisors (7730092).

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

7664768 is a wasteful number, since it uses less digits than its factorization.

7664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 7664768 is about 2768.5317408330. The cubic root of 7664768 is about 197.1664444028.

The spelling of 7664768 in words is "seven million, six hundred sixty-four thousand, seven hundred sixty-eight".