What's the adverb for abroadness? Here's the word you're looking for.
abroad
(dated) At large; widely; broadly; over a wide space. [First attested from around (1150 to 1350.)]
(dated) Without a certain confine; outside the house; away from one's abode. [First attested from around (1150 to 1350.)]
Beyond the bounds of a country; in foreign countries. [First attested from around (1350 to 1470.)]
(dated) Before the public at large; throughout society or the world; here and there; moving without restriction. [First attested in the late 15th century.]
Not on target; astray; in error; confused; dazed. [First attested in the early 19th century.]
(sports) Played elsewhere than one's home grounds.
