516800 has 84 divisors (see below), whose sum is σ = 1417320. Its totient is φ = 184320.

The previous prime is 516793. The next prime is 516811. The reversal of 516800 is 8615.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

516800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27191 + ... + 27209.

2⁵¹⁶⁸⁰⁰ is an apocalyptic number.

516800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708660).

516800 is an abundant number, since it is smaller than the sum of its proper divisors (900520).

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

516800 is a wasteful number, since it uses less digits than its factorization.

516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 516800 is about 718.8880302245. Note that the first 3 decimals coincide. The cubic root of 516800 is about 80.2492227938.

The spelling of 516800 in words is "five hundred sixteen thousand, eight hundred".