8125000 has 64 divisors (see below), whose sum is σ = 20507760. Its totient is φ = 3000000.

The previous prime is 8124983. The next prime is 8125009. The reversal of 8125000 is 5218.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8054244 + 70756 = 2838^2 + 266^2 .

It is a sliding number, since 8125000 = 125000 + 8000000 and 1/125000 + 1/8000000 = 0.000008125000.

It is not an unprimeable number, because it can be changed into a prime (8125009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624994 + ... + 625006.

Almost surely, 2^8125000 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 8125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10253880).

8125000 is an abundant number, since it is smaller than the sum of its proper divisors (12382760).

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

8125000 is an frugal number, since it uses more digits than its factorization.

8125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 8125000 is about 2850.4385627478. The cubic root of 8125000 is about 201.0362879295.

It can be divided in two parts, 8 and 125000, that multiplied together give a 6-th power (1000000 = 10⁶).

The spelling of 8125000 in words is "eight million, one hundred twenty-five thousand".