516775680 has 288 divisors, whose sum is σ = 1932806400. Its totient is φ = 130387968.

The previous prime is 516775627. The next prime is 516775723. The reversal of 516775680 is 86577615.

516775680 is a `hidden beast` number, since 5 + 16 + 77 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656247 + ... + 657033.

Almost surely, 2^516775680 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 516775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966403200).

516775680 is an abundant number, since it is smaller than the sum of its proper divisors (1416030720).

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

516775680 is a wasteful number, since it uses less digits than its factorization.

516775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 516775680 is about 22732.7006754587. The cubic root of 516775680 is about 802.4796396267.

The spelling of 516775680 in words is "five hundred sixteen million, seven hundred seventy-five thousand, six hundred eighty".