What are the numbers divisible by 768?

768, 1536, 2304, 3072, 3840, 4608, 5376, 6144, 6912, 7680, 8448, 9216, 9984, 10752, 11520, 12288, 13056, 13824, 14592, 15360, 16128, 16896, 17664, 18432, 19200, 19968, 20736, 21504, 22272, 23040, 23808, 24576, 25344, 26112, 26880, 27648, 28416, 29184, 29952, 30720, 31488, 32256, 33024, 33792, 34560, 35328, 36096, 36864, 37632, 38400, 39168, 39936, 40704, 41472, 42240, 43008, 43776, 44544, 45312, 46080, 46848, 47616, 48384, 49152, 49920, 50688, 51456, 52224, 52992, 53760, 54528, 55296, 56064, 56832, 57600, 58368, 59136, 59904, 60672, 61440, 62208, 62976, 63744, 64512, 65280, 66048, 66816, 67584, 68352, 69120, 69888, 70656, 71424, 72192, 72960, 73728, 74496, 75264, 76032, 76800, 77568, 78336, 79104, 79872, 80640, 81408, 82176, 82944, 83712, 84480, 85248, 86016, 86784, 87552, 88320, 89088, 89856, 90624, 91392, 92160, 92928, 93696, 94464, 95232, 96000, 96768, 97536, 98304, 99072, 99840

There is a total of 130 numbers (up to 100000) that are divisible by 768.
The sum of these numbers is 6539520.
The arithmetic mean of these numbers is 50304.

How to find the numbers divisible by 768?

Finding all the numbers that can be divided by 768 is essentially the same as searching for the multiples of 768: if a number N is a multiple of 768, then 768 is a divisor of N.

Indeed, if we assume that N is a multiple of 768, this means there exists an integer k such that:

$k \times 768 = N$

Conversely, the result of N divided by 768 is this same integer k (without any remainder):

$k = \frac{N}{768}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 768 (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 768 less than 100000):

1 × 768 = 768
2 × 768 = 1536
3 × 768 = 2304
...
129 × 768 = 99072
130 × 768 = 99840