4778860800 has 648 divisors, whose sum is σ = 19127817408. Its totient is φ = 1028505600.

The previous prime is 4778860799. The next prime is 4778860817. The reversal of 4778860800 is 80688774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4778860800.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 129158382 + ... + 129158418.

Almost surely, 2^4778860800 is an apocalyptic number.

4778860800 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 4778860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9563908704).

4778860800 is an abundant number, since it is smaller than the sum of its proper divisors (14348956608).

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

4778860800 is a wasteful number, since it uses less digits than its factorization.

4778860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 4778860800 is about 69129.3049292411. The cubic root of 4778860800 is about 1684.3853681425.

The spelling of 4778860800 in words is "four billion, seven hundred seventy-eight million, eight hundred sixty thousand, eight hundred".