What are the numbers divisible by 779?

779, 1558, 2337, 3116, 3895, 4674, 5453, 6232, 7011, 7790, 8569, 9348, 10127, 10906, 11685, 12464, 13243, 14022, 14801, 15580, 16359, 17138, 17917, 18696, 19475, 20254, 21033, 21812, 22591, 23370, 24149, 24928, 25707, 26486, 27265, 28044, 28823, 29602, 30381, 31160, 31939, 32718, 33497, 34276, 35055, 35834, 36613, 37392, 38171, 38950, 39729, 40508, 41287, 42066, 42845, 43624, 44403, 45182, 45961, 46740, 47519, 48298, 49077, 49856, 50635, 51414, 52193, 52972, 53751, 54530, 55309, 56088, 56867, 57646, 58425, 59204, 59983, 60762, 61541, 62320, 63099, 63878, 64657, 65436, 66215, 66994, 67773, 68552, 69331, 70110, 70889, 71668, 72447, 73226, 74005, 74784, 75563, 76342, 77121, 77900, 78679, 79458, 80237, 81016, 81795, 82574, 83353, 84132, 84911, 85690, 86469, 87248, 88027, 88806, 89585, 90364, 91143, 91922, 92701, 93480, 94259, 95038, 95817, 96596, 97375, 98154, 98933, 99712

There is a total of 128 numbers (up to 100000) that are divisible by 779.
The sum of these numbers is 6431424.
The arithmetic mean of these numbers is 50245.5.

How to find the numbers divisible by 779?

Finding all the numbers that can be divided by 779 is essentially the same as searching for the multiples of 779: if a number N is a multiple of 779, then 779 is a divisor of N.

Indeed, if we assume that N is a multiple of 779, this means there exists an integer k such that:

$k \times 779 = N$

Conversely, the result of N divided by 779 is this same integer k (without any remainder):

$k = \frac{N}{779}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 779 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 779 less than 100000):

1 × 779 = 779
2 × 779 = 1558
3 × 779 = 2337
...
127 × 779 = 98933
128 × 779 = 99712