8005000 has 40 divisors (see below), whose sum is σ = 18767430. Its totient is φ = 3200000.

The previous prime is 8004979. The next prime is 8005003. The reversal of 8005000 is 5008.

It can be written as a sum of positive squares in 5 ways, for example, as 1684804 + 6320196 = 1298^2 + 2514^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8005003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4200 + ... + 5800.

Almost surely, 2^8005000 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 8005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383715).

8005000 is an abundant number, since it is smaller than the sum of its proper divisors (10762430).

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

8005000 is a wasteful number, since it uses less digits than its factorization.

8005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 8005000 is about 2829.3108701590. The cubic root of 8005000 is about 200.0416579891.

It can be divided in two parts, 800 and 5000, that multiplied together give a square (4000000 = 2000²).

The spelling of 8005000 in words is "eight million, five thousand".