83759680 has 112 divisors (see below), whose sum is σ = 214792560. Its totient is φ = 30998528.

The previous prime is 83759659. The next prime is 83759717. The reversal of 83759680 is 8695738.

It can be written as a sum of positive squares in 8 ways, for example, as 1893376 + 81866304 = 1376^2 + 9048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83759680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484074 + ... + 484246.

Almost surely, 2^83759680 is an apocalyptic number.

83759680 is a gapful number since it is divisible by the number (80) 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 83759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107396280).

83759680 is an abundant number, since it is smaller than the sum of its proper divisors (131032880).

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

83759680 is a wasteful number, since it uses less digits than its factorization.

83759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 83759680 is about 9152.0314684774. The cubic root of 83759680 is about 437.5338618689.

The spelling of 83759680 in words is "eighty-three million, seven hundred fifty-nine thousand, six hundred eighty".