What are the numbers divisible by 769?

769, 1538, 2307, 3076, 3845, 4614, 5383, 6152, 6921, 7690, 8459, 9228, 9997, 10766, 11535, 12304, 13073, 13842, 14611, 15380, 16149, 16918, 17687, 18456, 19225, 19994, 20763, 21532, 22301, 23070, 23839, 24608, 25377, 26146, 26915, 27684, 28453, 29222, 29991, 30760, 31529, 32298, 33067, 33836, 34605, 35374, 36143, 36912, 37681, 38450, 39219, 39988, 40757, 41526, 42295, 43064, 43833, 44602, 45371, 46140, 46909, 47678, 48447, 49216, 49985, 50754, 51523, 52292, 53061, 53830, 54599, 55368, 56137, 56906, 57675, 58444, 59213, 59982, 60751, 61520, 62289, 63058, 63827, 64596, 65365, 66134, 66903, 67672, 68441, 69210, 69979, 70748, 71517, 72286, 73055, 73824, 74593, 75362, 76131, 76900, 77669, 78438, 79207, 79976, 80745, 81514, 82283, 83052, 83821, 84590, 85359, 86128, 86897, 87666, 88435, 89204, 89973, 90742, 91511, 92280, 93049, 93818, 94587, 95356, 96125, 96894, 97663, 98432, 99201, 99970

There is a total of 130 numbers (up to 100000) that are divisible by 769.
The sum of these numbers is 6548035.
The arithmetic mean of these numbers is 50369.5.

How to find the numbers divisible by 769?

Finding all the numbers that can be divided by 769 is essentially the same as searching for the multiples of 769: if a number N is a multiple of 769, then 769 is a divisor of N.

Indeed, if we assume that N is a multiple of 769, this means there exists an integer k such that:

$k \times 769 = N$

Conversely, the result of N divided by 769 is this same integer k (without any remainder):

$k = \frac{N}{769}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 769 (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 769 less than 100000):

1 × 769 = 769
2 × 769 = 1538
3 × 769 = 2307
...
129 × 769 = 99201
130 × 769 = 99970