83780224 has 64 divisors (see below), whose sum is σ = 183722400. Its totient is φ = 37739520.

The previous prime is 83780209. The next prime is 83780287. The reversal of 83780224 is 42208738.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 83780224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220867 + ... + 221245.

Almost surely, 2^83780224 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 83780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91861200).

83780224 is an abundant number, since it is smaller than the sum of its proper divisors (99942176).

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

83780224 is a wasteful number, since it uses less digits than its factorization.

83780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 83780224 is about 9153.1537734269. The cubic root of 83780224 is about 437.5696307132.

The spelling of 83780224 in words is "eighty-three million, seven hundred eighty thousand, two hundred twenty-four".