8002000 has 40 divisors (see below), whose sum is σ = 19353672. Its totient is φ = 3200000.

The previous prime is 8001991. The next prime is 8002003. The reversal of 8002000 is 2008.

It is a happy number.

8002000 is a nontrivial binomial coefficient, being equal to C(4001, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 6130576 = 1368^2 + 2476^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 4000.

Almost surely, 2^8002000 is an apocalyptic number.

8002000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8002000 is the 4000-th triangular number.

8002000 is the 1334-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676836).

8002000 is an abundant number, since it is smaller than the sum of its proper divisors (11351672).

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

8002000 is a wasteful number, since it uses less digits than its factorization.

8002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 8002000 is about 2828.7806560425. The cubic root of 8002000 is about 200.0166652780.

Adding to 8002000 its reverse (2008), we get a palindrome (8004008).

The spelling of 8002000 in words is "eight million, two thousand".