4778013200 has 120 divisors (see below), whose sum is σ = 12190592520. Its totient is φ = 1793433600.

The previous prime is 4778013157. The next prime is 4778013259. The reversal of 4778013200 is 23108774.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2117104144 + 2660909056 = 46012^2 + 51584^2 .

It is an unprimeable number.

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, 2861966 + ... + 2863634.

It is an arithmetic number, because the mean of its divisors is an integer number (101588271).

Almost surely, 2^4778013200 is an apocalyptic number.

4778013200 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 4778013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095296260).

4778013200 is an abundant number, since it is smaller than the sum of its proper divisors (7412579320).

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

4778013200 is a wasteful number, since it uses less digits than its factorization.

4778013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 4778013200 is about 69123.1741169342. The cubic root of 4778013200 is about 1684.2857788950.

The spelling of 4778013200 in words is "four billion, seven hundred seventy-eight million, thirteen thousand, two hundred".