4200082785 has 72 divisors (see below), whose sum is σ = 7756355880. Its totient is φ = 2101592064.

The previous prime is 4200082741. The next prime is 4200082793. The reversal of 4200082785 is 5872800024.

It is a happy number.

4200082785 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 579894561 + 3620188224 = 24081^2 + 60168^2 .

It is not a de Polignac number, because 4200082785 - 2⁸ = 4200082529 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1260001 + ... + 1263329.

It is an arithmetic number, because the mean of its divisors is an integer number (107727165).

Almost surely, 2^4200082785 is an apocalyptic number.

4200082785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200082785 is a deficient number, since it is larger than the sum of its proper divisors (3556273095).

4200082785 is a wasteful number, since it uses less digits than its factorization.

4200082785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4200082785 is about 64808.0456810727. The cubic root of 4200082785 is about 1613.4392465653.

The spelling of 4200082785 in words is "four billion, two hundred million, eighty-two thousand, seven hundred eighty-five".