A word is abecedarian when its letters already run in
alphabetical order — billowy, almost, aegilops.
Nearly no word is. But nearly every word would be, if the alphabet ran in
some other order: zebra needs only Z moved to the front and A to
the back. So the question stops being yes or no and becomes
how far — the fewest pairs of letters you would have to
swap in the alphabet itself before the word comes out sorted.
Which alphabet this is
of 26! = 403,291,461,126,605,635,584,000,000
Every one of the 26! orderings has a number: its place in the list of
them, sorted the way a dictionary sorts. Ordinary A–Z is 0. The
conversion is the Lehmer code, and it runs both ways, so this number
names that alphabet exactly and nothing else.
What a dictionary is made of