4078800 has 180 divisors, whose sum is σ = 15591264. Its totient is φ = 979200.

The previous prime is 4078799. The next prime is 4078807. The reversal of 4078800 is 88704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39549 + ... + 39651.

Almost surely, 2^4078800 is an apocalyptic number.

4078800 is a gapful number since it is divisible by the number (40) 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 4078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795632).

4078800 is an abundant number, since it is smaller than the sum of its proper divisors (11512464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4078800 is a wasteful number, since it uses less digits than its factorization.

4078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4078800 is about 2019.6039215648. The cubic root of 4078800 is about 159.7757274499.

The spelling of 4078800 in words is "four million, seventy-eight thousand, eight hundred".