8025300 has 108 divisors (see below), whose sum is σ = 25941916. Its totient is φ = 2073600.

The previous prime is 8025293. The next prime is 8025301. The reversal of 8025300 is 35208.

It can be written as a sum of positive squares in 6 ways, for example, as 374544 + 7650756 = 612^2 + 2766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33180 + ... + 33420.

Almost surely, 2^8025300 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 8025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970958).

8025300 is an abundant number, since it is smaller than the sum of its proper divisors (17916616).

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

8025300 is a wasteful number, since it uses less digits than its factorization.

8025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 8025300 is about 2832.8960446864. The cubic root of 8025300 is about 200.2106114695.

The spelling of 8025300 in words is "eight million, twenty-five thousand, three hundred".