4778336900 has 144 divisors (see below), whose sum is σ = 11039293440. Its totient is φ = 1792627200.

The previous prime is 4778336891. The next prime is 4778336903. The reversal of 4778336900 is 96338774.

It is a happy number.

It is a super-2 number, since 2×4778336900² = 45665007059803220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4778336903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20865986 + ... + 20866214.

It is an arithmetic number, because the mean of its divisors is an integer number (76661760).

Almost surely, 2^4778336900 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 4778336900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519646720).

4778336900 is an abundant number, since it is smaller than the sum of its proper divisors (6260956540).

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

4778336900 is a wasteful number, since it uses less digits than its factorization.

4778336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The square root of 4778336900 is about 69125.5155496145. The cubic root of 4778336900 is about 1684.3238136019.

The spelling of 4778336900 in words is "four billion, seven hundred seventy-eight million, three hundred thirty-six thousand, nine hundred".