8002500 has 120 divisors (see below), whose sum is σ = 25716768. Its totient is φ = 1920000.

The previous prime is 8002493. The next prime is 8002507. The reversal of 8002500 is 52008.

8002500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8002493) and next prime (8002507).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8002500.

It is not an unprimeable number, because it can be changed into a prime (8002507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82452 + ... + 82548.

Almost surely, 2^8002500 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 8002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12858384).

8002500 is an abundant number, since it is smaller than the sum of its proper divisors (17714268).

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

8002500 is a wasteful number, since it uses less digits than its factorization.

8002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 8002500 is about 2828.8690319631. The cubic root of 8002500 is about 200.0208311636.

Adding to 8002500 its reverse (52008), we get a palindrome (8054508).

The spelling of 8002500 in words is "eight million, two thousand, five hundred".