516780 has 120 divisors (see below), whose sum is σ = 1829520. Its totient is φ = 120960.

The previous prime is 516757. The next prime is 516793. The reversal of 516780 is 87615.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 17806 + ... + 17834.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2⁵¹⁶⁷⁸⁰ 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 516780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760).

516780 is an abundant number, since it is smaller than the sum of its proper divisors (1312740).

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

516780 is a wasteful number, since it uses less digits than its factorization.

516780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 516780 is about 718.8741197178. The cubic root of 516780 is about 80.2481875737.

It can be divided in two parts, 516 and 780, that added together give a 4-th power (1296 = 6⁴).

The spelling of 516780 in words is "five hundred sixteen thousand, seven hundred eighty".