880243200 has 360 divisors, whose sum is σ = 3278363088. Its totient is φ = 233902080.

The previous prime is 880243157. The next prime is 880243207. The reversal of 880243200 is 2342088.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×880243200² = 1549656182292480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (880243207) 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 35 ways as a sum of consecutive naturals, for example, 3110259 + ... + 3110541.

Almost surely, 2^880243200 is an apocalyptic number.

880243200 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 880243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639181544).

880243200 is an abundant number, since it is smaller than the sum of its proper divisors (2398119888).

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

880243200 is an equidigital number, since it uses as much as digits as its factorization.

880243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 880243200 is about 29668.8928003726. The cubic root of 880243200 is about 958.3722415625.

Adding to 880243200 its reverse (2342088), we get a palindrome (882585288).

The spelling of 880243200 in words is "eight hundred eighty million, two hundred forty-three thousand, two hundred".