83780568 has 96 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 27488160.

The previous prime is 83780563. The next prime is 83780581. The reversal of 83780568 is 86508738.

83780568 is a `hidden beast` number, since 8 + 3 + 7 + 80 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83780563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137721 + ... + 138327.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^83780568 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 83780568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

83780568 is an abundant number, since it is smaller than the sum of its proper divisors (155236392).

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

83780568 is a wasteful number, since it uses less digits than its factorization.

83780568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 83780568 is about 9153.1725647450. The cubic root of 83780568 is about 437.5702295966.

It can be divided in two parts, 83780 and 568, that added together give a palindrome (84348).

The spelling of 83780568 in words is "eighty-three million, seven hundred eighty thousand, five hundred sixty-eight".