83779565808 has 160 divisors (see below), whose sum is σ = 230878278400. Its totient is φ = 26103472128.

The previous prime is 83779565783. The next prime is 83779565851. The reversal of 83779565808 is 80856597738.

It is a Cunningham number, because it is equal to 289447²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32995803 + ... + 32998341.

It is an arithmetic number, because the mean of its divisors is an integer number (1442989240).

Almost surely, 2^83779565808 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 83779565808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115439139200).

83779565808 is an abundant number, since it is smaller than the sum of its proper divisors (147098712592).

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

83779565808 is a wasteful number, since it uses less digits than its factorization.

83779565808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 83779565808 in words is "eighty-three billion, seven hundred seventy-nine million, five hundred sixty-five thousand, eight hundred eight".