517668080 has 40 divisors (see below), whose sum is σ = 1205025552. Its totient is φ = 206818304.

The previous prime is 517668077. The next prime is 517668083. The reversal of 517668080 is 80866715.

It is an interprime number because it is at equal distance from previous prime (517668077) and next prime (517668083).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517668083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72344 + ... + 79176.

Almost surely, 2^517668080 is an apocalyptic number.

It is an amenable number.

517668080 is an abundant number, since it is smaller than the sum of its proper divisors (687357472).

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

517668080 is a wasteful number, since it uses less digits than its factorization.

517668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 517668080 is about 22752.3203212332. The cubic root of 517668080 is about 802.9412977067.

The spelling of 517668080 in words is "five hundred seventeen million, six hundred sixty-eight thousand, eighty".