What are the numbers divisible by 770?

770, 1540, 2310, 3080, 3850, 4620, 5390, 6160, 6930, 7700, 8470, 9240, 10010, 10780, 11550, 12320, 13090, 13860, 14630, 15400, 16170, 16940, 17710, 18480, 19250, 20020, 20790, 21560, 22330, 23100, 23870, 24640, 25410, 26180, 26950, 27720, 28490, 29260, 30030, 30800, 31570, 32340, 33110, 33880, 34650, 35420, 36190, 36960, 37730, 38500, 39270, 40040, 40810, 41580, 42350, 43120, 43890, 44660, 45430, 46200, 46970, 47740, 48510, 49280, 50050, 50820, 51590, 52360, 53130, 53900, 54670, 55440, 56210, 56980, 57750, 58520, 59290, 60060, 60830, 61600, 62370, 63140, 63910, 64680, 65450, 66220, 66990, 67760, 68530, 69300, 70070, 70840, 71610, 72380, 73150, 73920, 74690, 75460, 76230, 77000, 77770, 78540, 79310, 80080, 80850, 81620, 82390, 83160, 83930, 84700, 85470, 86240, 87010, 87780, 88550, 89320, 90090, 90860, 91630, 92400, 93170, 93940, 94710, 95480, 96250, 97020, 97790, 98560, 99330

There is a total of 129 numbers (up to 100000) that are divisible by 770.
The sum of these numbers is 6456450.
The arithmetic mean of these numbers is 50050.

How to find the numbers divisible by 770?

Finding all the numbers that can be divided by 770 is essentially the same as searching for the multiples of 770: if a number N is a multiple of 770, then 770 is a divisor of N.

Indeed, if we assume that N is a multiple of 770, this means there exists an integer k such that:

$k \times 770 = N$

Conversely, the result of N divided by 770 is this same integer k (without any remainder):

$k = \frac{N}{770}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 770 (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 770 less than 100000):

1 × 770 = 770
2 × 770 = 1540
3 × 770 = 2310
...
128 × 770 = 98560
129 × 770 = 99330