4078880 has 96 divisors (see below), whose sum is σ = 10859184. Its totient is φ = 1437696.

The previous prime is 4078871. The next prime is 4078883. The reversal of 4078880 is 888704.

4078880 is nontrivially palindromic in base 15.

4078880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2347024 + 1731856 = 1532^2 + 1316^2 .

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4078880.

It is not an unprimeable number, because it can be changed into a prime (4078883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76934 + ... + 76986.

Almost surely, 2^4078880 is an apocalyptic number.

4078880 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 4078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592).

4078880 is an abundant number, since it is smaller than the sum of its proper divisors (6780304).

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

4078880 is a wasteful number, since it uses less digits than its factorization.

4078880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 4078880 is about 2019.6237273314. The cubic root of 4078880 is about 159.7767720361.

The spelling of 4078880 in words is "four million, seventy-eight thousand, eight hundred eighty".