8245800 has 120 divisors (see below), whose sum is σ = 28695150. Its totient is φ = 2194560.

The previous prime is 8245789. The next prime is 8245807. The reversal of 8245800 is 85428.

8245800 is a `hidden beast` number, since 82 + 4 + 580 + 0 = 666.

8245800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7193124 + 1052676 = 2682^2 + 1026^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8245807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15946 + ... + 16454.

Almost surely, 2^8245800 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 8245800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347575).

8245800 is an abundant number, since it is smaller than the sum of its proper divisors (20449350).

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

8245800 is a wasteful number, since it uses less digits than its factorization.

8245800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

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

The square root of 8245800 is about 2871.5501040379. The cubic root of 8245800 is about 202.0277059014.

It can be divided in two parts, 8245 and 800, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8245800 in words is "eight million, two hundred forty-five thousand, eight hundred".