880972200 has 144 divisors (see below), whose sum is σ = 3068345280. Its totient is φ = 234912960.

The previous prime is 880972199. The next prime is 880972217. The reversal of 880972200 is 2279088.

It is a super-3 number, since 3×880972200³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39537 + ... + 57663.

Almost surely, 2^880972200 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 880972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534172640).

880972200 is an abundant number, since it is smaller than the sum of its proper divisors (2187373080).

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

880972200 is a wasteful number, since it uses less digits than its factorization.

880972200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158 (or 18137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 880972200 is about 29681.1758527185. The cubic root of 880972200 is about 958.6367368681.

The spelling of 880972200 in words is "eight hundred eighty million, nine hundred seventy-two thousand, two hundred".