It is a happy number.
It is a tau number, because it is divible by the number of its divisors (288).
It is a zygodrome in base 7.
It is an unprimeable number.
Almost surely, 27408800 is an apocalyptic number.
7408800 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 7408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7408800 is a wasteful number, since it uses less digits than its factorization.
7408800 is an evil number, because the sum of its binary digits is even.
The square root of 7408800 is about 2721.9110933313. The cubic root of 7408800 is about 194.9467310117.
The spelling of 7408800 in words is "seven million, four hundred eight thousand, eight hundred".