4778112 has 64 divisors (see below), whose sum is σ = 13268160. Its totient is φ = 1520640.

The previous prime is 4778107. The next prime is 4778113. The reversal of 4778112 is 2118774.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4778112.

It is not an unprimeable number, because it can be changed into a prime (4778113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8562 + ... + 9102.

It is an arithmetic number, because the mean of its divisors is an integer number (207315).

Almost surely, 2^4778112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634080).

4778112 is an abundant number, since it is smaller than the sum of its proper divisors (8490048).

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

4778112 is a wasteful number, since it uses less digits than its factorization.

4778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its digits is 3136, while the sum is 30.

The square root of 4778112 is about 2185.8892927136. The cubic root of 4778112 is about 168.4297388064.

The spelling of 4778112 in words is "four million, seven hundred seventy-eight thousand, one hundred twelve".