7680600 has 144 divisors (see below), whose sum is σ = 27420120. Its totient is φ = 1920000.

The previous prime is 7680581. The next prime is 7680613. The reversal of 7680600 is 60867.

It is a congruent number.

It is an unprimeable number.

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, 30475 + ... + 30725.

Almost surely, 2^7680600 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 7680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710060).

7680600 is an abundant number, since it is smaller than the sum of its proper divisors (19739520).

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

7680600 is a wasteful number, since it uses less digits than its factorization.

7680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7680600 is about 2771.3895431714. The cubic root of 7680600 is about 197.3021037545.

The spelling of 7680600 in words is "seven million, six hundred eighty thousand, six hundred".