7680561 has 16 divisors (see below), whose sum is σ = 11904000. Its totient is φ = 4313808.

The previous prime is 7680559. The next prime is 7680581. The reversal of 7680561 is 1650867.

7680561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7680561 - 2¹ = 7680559 is a prime.

7680561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7680581) 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 15 ways as a sum of consecutive naturals, for example, 1861 + ... + 4338.

It is an arithmetic number, because the mean of its divisors is an integer number (744000).

Almost surely, 2^7680561 is an apocalyptic number.

It is an amenable number.

7680561 is a deficient number, since it is larger than the sum of its proper divisors (4223439).

7680561 is a wasteful number, since it uses less digits than its factorization.

7680561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7680561 is about 2771.3825069809. The cubic root of 7680561 is about 197.3017698051.

The spelling of 7680561 in words is "seven million, six hundred eighty thousand, five hundred sixty-one".