Subtracting from 78624 its reverse (42687), we obtain a cube (35937 = 333).
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
278624 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 78624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78624 is a wasteful number, since it uses less digits than its factorization.
78624 is an evil number, because the sum of its binary digits is even.
The square root of 78624 is about 280.3997146932. The cubic root of 78624 is about 42.8402218915.
The spelling of 78624 in words is "seventy-eight thousand, six hundred twenty-four".