4782796800 has 156 divisors (see below), whose sum is σ = 15814199880. Its totient is φ = 1275330560.

The previous prime is 4782796763. The next prime is 4782796829. The reversal of 4782796800 is 86972874.

It is a super-4 number, since 4×4782796800⁴ (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 299416 + ... + 314984.

Almost surely, 2^4782796800 is an apocalyptic number.

4782796800 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 4782796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907099940).

4782796800 is an abundant number, since it is smaller than the sum of its proper divisors (11031403080).

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

4782796800 is a wasteful number, since it uses less digits than its factorization.

4782796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15606 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 4782796800 is about 69157.7674596281. The cubic root of 4782796800 is about 1684.8476764745.

The spelling of 4782796800 in words is "four billion, seven hundred eighty-two million, seven hundred ninety-six thousand, eight hundred".