208738906782 has 64 divisors (see below), whose sum is σ = 493829935104. Its totient is φ = 57560958720.

The previous prime is 208738906781. The next prime is 208738906799. The reversal of 208738906782 is 287609837802.

208738906782 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208738906781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270738 + ... + 700554.

It is an arithmetic number, because the mean of its divisors is an integer number (7716092736).

Almost surely, 2^208738906782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208738906782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246914967552).

208738906782 is an abundant number, since it is smaller than the sum of its proper divisors (285091028322).

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

208738906782 is a wasteful number, since it uses less digits than its factorization.

208738906782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430233.

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 208738906782 in words is "two hundred eight billion, seven hundred thirty-eight million, nine hundred six thousand, seven hundred eighty-two".