Zacchaeus’s name day is April 20, the feast of Zacchaeus the Apostle.
Churches that follow the Old (Julian) Calendar keep the same feast on May 3 of the civil calendar. See everything commemorated on April 20.
The saint behind the name
Zacchaeus the Apostle
April 20, Apostle, Ζακχαίος ο Απόστολος
Zacchaeus was the chief tax collector of Jericho who, being short of stature, climbed a sycamore tree to see Jesus and was called down to receive Him in his house, where he promised to restore fourfold all he had taken unjustly.
Also celebrating on April 20
These names share the feast, many of them other forms of the same name:
What to say on a name day
The Greek wish is Χρόνια Πολλά (Chronia Polla), “many years.” A call or a short message on the day is what people remember. See name day wishes you can send and what a name day is.