8445800 has 72 divisors (see below), whose sum is σ = 21645750. Its totient is φ = 3062400.

The previous prime is 8445799. The next prime is 8445841. The reversal of 8445800 is 85448.

It can be written as a sum of positive squares in 3 ways, for example, as 7086244 + 1359556 = 2662^2 + 1166^2 .

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 17 ways as a sum of consecutive naturals, for example, 24026 + ... + 24374.

Almost surely, 2^8445800 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 8445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10822875).

8445800 is an abundant number, since it is smaller than the sum of its proper divisors (13199950).

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

8445800 is a wasteful number, since it uses less digits than its factorization.

8445800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 8445800 is about 2906.1658589970. The cubic root of 8445800 is about 203.6480539342.

The spelling of 8445800 in words is "eight million, four hundred forty-five thousand, eight hundred".