7738668 has 108 divisors (see below), whose sum is σ = 23528232. Its totient is φ = 2136960.

The previous prime is 7738663. The next prime is 7738693. The reversal of 7738668 is 8668377.

It is not an unprimeable number, because it can be changed into a prime (7738663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72271 + ... + 72377.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^7738668 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 7738668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

7738668 is an abundant number, since it is smaller than the sum of its proper divisors (15789564).

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

7738668 is a wasteful number, since it uses less digits than its factorization.

7738668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7738668 is about 2781.8461495920. The cubic root of 7738668 is about 197.7980800417.

The spelling of 7738668 in words is "seven million, seven hundred thirty-eight thousand, six hundred sixty-eight".