What are the numbers divisible by 777?

777, 1554, 2331, 3108, 3885, 4662, 5439, 6216, 6993, 7770, 8547, 9324, 10101, 10878, 11655, 12432, 13209, 13986, 14763, 15540, 16317, 17094, 17871, 18648, 19425, 20202, 20979, 21756, 22533, 23310, 24087, 24864, 25641, 26418, 27195, 27972, 28749, 29526, 30303, 31080, 31857, 32634, 33411, 34188, 34965, 35742, 36519, 37296, 38073, 38850, 39627, 40404, 41181, 41958, 42735, 43512, 44289, 45066, 45843, 46620, 47397, 48174, 48951, 49728, 50505, 51282, 52059, 52836, 53613, 54390, 55167, 55944, 56721, 57498, 58275, 59052, 59829, 60606, 61383, 62160, 62937, 63714, 64491, 65268, 66045, 66822, 67599, 68376, 69153, 69930, 70707, 71484, 72261, 73038, 73815, 74592, 75369, 76146, 76923, 77700, 78477, 79254, 80031, 80808, 81585, 82362, 83139, 83916, 84693, 85470, 86247, 87024, 87801, 88578, 89355, 90132, 90909, 91686, 92463, 93240, 94017, 94794, 95571, 96348, 97125, 97902, 98679, 99456

There is a total of 128 numbers (up to 100000) that are divisible by 777.
The sum of these numbers is 6414912.
The arithmetic mean of these numbers is 50116.5.

How to find the numbers divisible by 777?

Finding all the numbers that can be divided by 777 is essentially the same as searching for the multiples of 777: if a number N is a multiple of 777, then 777 is a divisor of N.

Indeed, if we assume that N is a multiple of 777, this means there exists an integer k such that:

$k \times 777 = N$

Conversely, the result of N divided by 777 is this same integer k (without any remainder):

$k = \frac{N}{777}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 777 (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 777 less than 100000):

1 × 777 = 777
2 × 777 = 1554
3 × 777 = 2331
...
127 × 777 = 98679
128 × 777 = 99456