7656768 has 140 divisors (see below), whose sum is σ = 26062432. Its totient is φ = 2177280.

The previous prime is 7656763. The next prime is 7656787. The reversal of 7656768 is 8676567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7656763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36183 + ... + 36393.

Almost surely, 2^7656768 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 7656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031216).

7656768 is an abundant number, since it is smaller than the sum of its proper divisors (18405664).

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

7656768 is a wasteful number, since it uses less digits than its factorization.

7656768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7656768 is about 2767.0865544829. The cubic root of 7656768 is about 197.0978239024.

The spelling of 7656768 in words is "seven million, six hundred fifty-six thousand, seven hundred sixty-eight".