8845200 has 360 divisors, whose sum is σ = 39178048. Its totient is φ = 1866240.

The previous prime is 8845189. The next prime is 8845201. The reversal of 8845200 is 25488.

8845200 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

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

8845200 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (8845201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 680394 + ... + 680406.

Almost surely, 2^8845200 is an apocalyptic number.

8845200 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 8845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589024).

8845200 is an abundant number, since it is smaller than the sum of its proper divisors (30332848).

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

8845200 is a wasteful number, since it uses less digits than its factorization.

8845200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8845200 is about 2974.0880955345. The cubic root of 8845200 is about 206.8088973521.

It can be divided in two parts, 8845 and 200, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8845200 in words is "eight million, eight hundred forty-five thousand, two hundred".