Just google "Why 833 KC?" and all sorts of radio history is at your fingertips.
As best as I can determine, only one frequency--360 meters or 833 kHz--was originally authorized around 1919 because there was no sense of how many people would want to put stations on air. Leafing through some of the history, I gather that anyone who wanted a license could have one just by registering with the federal government. When it became apparent that there were too many registrants to share just one channel, more channels were authorized. By 1924, what we now think of as the AM band took the general shape that we all now recognize. But as late as '23, they were all still crammed in on 833. How did they do it? Very low power--to limit interference, and by limiting their broadcasts to as little as an hour at a time!