7678660 has 72 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 2629440.

The previous prime is 7678637. The next prime is 7678661. The reversal of 7678660 is 668767.

7678660 = T₄₄₉ + T₄₅₀ + ... + T₅₁₄.

7678660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7678661) 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 23 ways as a sum of consecutive naturals, for example, 45897 + ... + 46063.

It is an arithmetic number, because the mean of its divisors is an integer number (260680).

Almost surely, 2^7678660 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 7678660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384480).

7678660 is an abundant number, since it is smaller than the sum of its proper divisors (11090300).

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

7678660 is a wasteful number, since it uses less digits than its factorization.

7678660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 7678660 is about 2771.0395161383. The cubic root of 7678660 is about 197.2854905423.

It can be divided in two parts, 7678 and 660, that added together give a palindrome (8338).

The spelling of 7678660 in words is "seven million, six hundred seventy-eight thousand, six hundred sixty".