880820224 has 60 divisors (see below), whose sum is σ = 1810442284. Its totient is φ = 428212224.

The previous prime is 880820207. The next prime is 880820233. The reversal of 880820224 is 422028088.

It can be written as a sum of positive squares in 2 ways, for example, as 829440000 + 51380224 = 28800^2 + 7168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 880820224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605482 + ... + 606934.

Almost surely, 2^880820224 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 880820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905221142).

880820224 is an abundant number, since it is smaller than the sum of its proper divisors (929622060).

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

880820224 is an equidigital number, since it uses as much as digits as its factorization.

880820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 880820224 is about 29678.6156011361. The cubic root of 880820224 is about 958.5816090766.

The spelling of 880820224 in words is "eight hundred eighty million, eight hundred twenty thousand, two hundred twenty-four".