7663680 has 112 divisors (see below), whose sum is σ = 27066240. Its totient is φ = 2041344.

The previous prime is 7663637. The next prime is 7663693. The reversal of 7663680 is 863667.

It is a happy number.

7663680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7663680² = 117463982284800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8197 + ... + 9083.

Almost surely, 2^7663680 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 7663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533120).

7663680 is an abundant number, since it is smaller than the sum of its proper divisors (19402560).

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

7663680 is a wasteful number, since it uses less digits than its factorization.

7663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7663680 is about 2768.3352398147. The cubic root of 7663680 is about 197.1571148208.

The spelling of 7663680 in words is "seven million, six hundred sixty-three thousand, six hundred eighty".