7638400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
Almost surely, 27638400 is an apocalyptic number.
7638400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7638400 is a wasteful number, since it uses less digits than its factorization.
7638400 is an odious number, because the sum of its binary digits is odd.
The square root of 7638400 is about 2763.7655472200. The cubic root of 7638400 is about 196.9400901767.
The spelling of 7638400 in words is "seven million, six hundred thirty-eight thousand, four hundred".