880468200 has 216 divisors, whose sum is σ = 3061369350. Its totient is φ = 226771200.

The previous prime is 880468187. The next prime is 880468201. The reversal of 880468200 is 2864088.

880468200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 768065796 + 112402404 = 27714^2 + 10602^2 .

It is a super-2 number, since 2×880468200² = 1550448502422480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (880468201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1729546 + ... + 1730054.

Almost surely, 2^880468200 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 880468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530684675).

880468200 is an abundant number, since it is smaller than the sum of its proper divisors (2180901150).

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

880468200 is a wasteful number, since it uses less digits than its factorization.

880468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 880468200 is about 29672.6844083915. The cubic root of 880468200 is about 958.4538914914.

The spelling of 880468200 in words is "eight hundred eighty million, four hundred sixty-eight thousand, two hundred".