8789200 has 120 divisors (see below), whose sum is σ = 25032128. Its totient is φ = 2903040.

The previous prime is 8789189. The next prime is 8789201. The reversal of 8789200 is 29878.

8789200 = T₇₅ + T₇₆ + ... + T₃₇₅.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8789201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120364 + ... + 120436.

Almost surely, 2^8789200 is an apocalyptic number.

8789200 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 8789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516064).

8789200 is an abundant number, since it is smaller than the sum of its proper divisors (16242928).

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

8789200 is a wasteful number, since it uses less digits than its factorization.

8789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

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

The square root of 8789200 is about 2964.6584963533. The cubic root of 8789200 is about 206.3715292340.

The spelling of 8789200 in words is "eight million, seven hundred eighty-nine thousand, two hundred".