I've compiling my web images at 1008 pixels horizontally, and about 750 vertically.
Interested to know what's your rule in compiling for web viewing.
I used to keep my web images to about the same dimensions as you do, but I recently raised my limits to about 1330 pixels horizontal and 885 pixels vertical.
I raised my limit because the average screen pixel dimension in use is slowly getting bigger. My web images were looking small on high-dpi screens and desktop monitors bigger than about 23 inches -- even on high-DPI tablet screens.
I did some googling to get current figures for what size screens people are currently using on the web (in pixels). The distribution is trending up, as you would expect. My larger web images, if viewed 1:1, will exceed the typical browser window size of a lot of older laptops, but those laptops are slowly but surely cycling out of the greater web population. So I decided that the drawback of too-large images on low-pixel screens was outweighed by the benefit of bigger images on the increasingly common larger screens. Even 7-inch tablets can easily display my new image size at full resolution, if they have a high-DPI screen. (My iPad Mini 2 has a 2048 x 1536, 7-inch screen.)
I expect that in 3 or 4 years, I'll raise my limits again, as high-DPI screens become more and more common.