7666848 has 72 divisors (see below), whose sum is σ = 24923808. Its totient is φ = 2189952.

The previous prime is 7666819. The next prime is 7666849. The reversal of 7666848 is 8486667.

It is a happy number.

7666848 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

7666848 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7666849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (346164).

Almost surely, 2^7666848 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 7666848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461904).

7666848 is an abundant number, since it is smaller than the sum of its proper divisors (17256960).

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

7666848 is a wasteful number, since it uses less digits than its factorization.

7666848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3815 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 7666848 is about 2768.9073657311. The cubic root of 7666848 is about 197.1842779111.

The spelling of 7666848 in words is "seven million, six hundred sixty-six thousand, eight hundred forty-eight".