7686720 has 168 divisors, whose sum is σ = 28172664. Its totient is φ = 1916928.

The previous prime is 7686719. The next prime is 7686727. The reversal of 7686720 is 276867.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 6718464 = 984^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48882 + ... + 49038.

Almost surely, 2^7686720 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 7686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086332).

7686720 is an abundant number, since it is smaller than the sum of its proper divisors (20485944).

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

7686720 is a wasteful number, since it uses less digits than its factorization.

7686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7686720 is about 2772.4934625712. The cubic root of 7686720 is about 197.3544941190.

The spelling of 7686720 in words is "seven million, six hundred eighty-six thousand, seven hundred twenty".