880221200 has 60 divisors (see below), whose sum is σ = 2118647508. Its totient is φ = 351436800.

The previous prime is 880221197. The next prime is 880221203. The reversal of 880221200 is 2122088.

It is an interprime number because it is at equal distance from previous prime (880221197) and next prime (880221203).

It can be written as a sum of positive squares in 6 ways, for example, as 30976 + 880190224 = 176^2 + 29668^2 .

It is not an unprimeable number, because it can be changed into a prime (880221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254684 + ... + 258116.

Almost surely, 2^880221200 is an apocalyptic number.

880221200 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 880221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059323754).

880221200 is an abundant number, since it is smaller than the sum of its proper divisors (1238426308).

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

880221200 is a wasteful number, since it uses less digits than its factorization.

880221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 880221200 is about 29668.5220393602. The cubic root of 880221200 is about 958.3642572672.

Adding to 880221200 its reverse (2122088), we get a palindrome (882343288).

The spelling of 880221200 in words is "eight hundred eighty million, two hundred twenty-one thousand, two hundred".