4782085380 has 144 divisors (see below), whose sum is σ = 15512004144. Its totient is φ = 1188249600.

The previous prime is 4782085379. The next prime is 4782085391. The reversal of 4782085380 is 835802874.

4782085380 is a `hidden beast` number, since 478 + 20 + 85 + 3 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 505710144 + 4276375236 = 22488^2 + 65394^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301324 + ... + 316796.

It is an arithmetic number, because the mean of its divisors is an integer number (107722251).

Almost surely, 2^4782085380 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 4782085380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756002072).

4782085380 is an abundant number, since it is smaller than the sum of its proper divisors (10729918764).

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

4782085380 is a wasteful number, since it uses less digits than its factorization.

4782085380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 15601 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4782085380 is about 69152.6238113927. The cubic root of 4782085380 is about 1684.7641344370.

The spelling of 4782085380 in words is "four billion, seven hundred eighty-two million, eighty-five thousand, three hundred eighty".