Not surprisingly, if you Google "Number of runners in the UK" (don't know if you'd thought of that at all?) the first search result is a collection of times this question has been asked before on RW, generally with the same type of replies (and what can you expect) but this one does appear to have a useful reply regarding some genuine research that has been done on the matter.
I think we've covered it though. The answer is definitely somewhere between 8 and 23,345,654. And WiB - they've actually tended to use lanes 2 to 9 rather than 1 to 8. 