4078080 has 160 divisors (see below), whose sum is σ = 14731200. Its totient is φ = 1069056.

The previous prime is 4078073. The next prime is 4078099. The reversal of 4078080 is 808704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69091 + ... + 69149.

It is an arithmetic number, because the mean of its divisors is an integer number (92070).

Almost surely, 2^4078080 is an apocalyptic number.

4078080 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 4078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

4078080 is an abundant number, since it is smaller than the sum of its proper divisors (10653120).

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

4078080 is an equidigital number, since it uses as much as digits as its factorization.

4078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

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

The square root of 4078080 is about 2019.4256609244. The cubic root of 4078080 is about 159.7663255594.

The spelling of 4078080 in words is "four million, seventy-eight thousand, eighty".