8879200 has 72 divisors (see below), whose sum is σ = 23670360. Its totient is φ = 3225600.

The previous prime is 8879197. The next prime is 8879207. The reversal of 8879200 is 29788.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8879207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8296 + ... + 9304.

It is an arithmetic number, because the mean of its divisors is an integer number (328755).

Almost surely, 2^8879200 is an apocalyptic number.

8879200 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 8879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835180).

8879200 is an abundant number, since it is smaller than the sum of its proper divisors (14791160).

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

8879200 is a wasteful number, since it uses less digits than its factorization.

8879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 8879200 is about 2979.7986509159. The cubic root of 8879200 is about 207.0735422915.

It can be divided in two parts, 88 and 79200, that multiplied together give a square (6969600 = 2640²).

The spelling of 8879200 in words is "eight million, eight hundred seventy-nine thousand, two hundred".