# ⓘ 78 (number)

## ⓘ 78 (number)

78 is:

• a Harshad number in bases 3, 4, 5, 6, 7, 13 and 14.
• an Erdos–Woods number, since it is possible to find sequences of 78 consecutive integers such that each inner member shares a factor with either the first or the last member.
• a sphenic number, having 3 distinct prime factors.
• an abundant number with an aliquot sum of 90.
• the dimension of the exceptional Lie group E 6 and several related objects.
• a palindromic number in bases 5 303 5, 7 141 7, 12 66 12, 25 33 25, 38 22 38, 77 11 77 and all bases greater 78.
• a semiperfect number, as a multiple of a perfect number.
• the 12th triangular number.

77 and 78 form a Ruth-Aaron pair.

## 1. In other fields

78 is also:

• The Rule of 78s is a method of yearly interest calculation
• A typical tarot deck containing the 21 trump cards, the Fool and the 56 suit cards make up 78 cards
• In reference to gramophone records, 78 refers those meant to be spun at 78 revolutions per minute. Compare: LP, ​ 33 1 ⁄ 3 and 45 rpm. 33 + 45 = 78
• The total number of gifts in the song The Twelve Days of Christmas since 78 is the 12th triangular number