4784827800 has 192 divisors, whose sum is σ = 15166886400. Its totient is φ = 1247500800.

The previous prime is 4784827781. The next prime is 4784827807. The reversal of 4784827800 is 87284874.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4784827800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4784827807) 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, 8747127 + ... + 8747673.

It is an arithmetic number, because the mean of its divisors is an integer number (78994200).

Almost surely, 2^4784827800 is an apocalyptic number.

4784827800 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 4784827800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583443200).

4784827800 is an abundant number, since it is smaller than the sum of its proper divisors (10382058600).

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

4784827800 is a wasteful number, since it uses less digits than its factorization.

4784827800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 4784827800 is about 69172.4497180778. The cubic root of 4784827800 is about 1685.0861311917.

It can be divided in two parts, 478 and 4827800, that added together give a triangular number (4828278 = T₃₁₀₇).

The spelling of 4784827800 in words is "four billion, seven hundred eighty-four million, eight hundred twenty-seven thousand, eight hundred".