4078200 has 96 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 931200.

The previous prime is 4078187. The next prime is 4078201. The reversal of 4078200 is 28704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3715 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 2^4078200 is an apocalyptic number.

4078200 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 4078200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

4078200 is an abundant number, since it is smaller than the sum of its proper divisors (10385160).

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

4078200 is a wasteful number, since it uses less digits than its factorization.

4078200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4078200 is about 2019.4553721239. The cubic root of 4078200 is about 159.7678926180.

It can be divided in two parts, 4078 and 200, that added together give a triangular number (4278 = T₉₂).

The spelling of 4078200 in words is "four million, seventy-eight thousand, two hundred".