The Optoma EH7700 supports a maximum resolution of 1920 x 1200 (WUXGA). That's over seven times the resolution of a 640 x 480 (VGA) multimedia projector, which is the most common resolution supported by data projectors of a similar age and spec to the EH7700.
This data projector's resolution (1920 x 1200 (WUXGA)) is in fact the best supported resolution amongst all data projectors that have been around for around the same time as the EH7700.
The worst supported resolution amongst similar types of data projector is 640 x 480 (VGA).
If the resolution of this Optoma projector is not high enough for you then you might want to consider the NEC PA522 (2048 x 1080|4096 x 2160|1920 x 1200 (WUXGA and cheaper)|2560 x 1600 (WQXGA and cheaper)|640 x 480 (VGA and cheaper) and cheaper).