8002820 has 24 divisors (see below), whose sum is σ = 19207104. Its totient is φ = 2743776.

The previous prime is 8002793. The next prime is 8002823. The reversal of 8002820 is 282008.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8002792 and 8002801.

It is not an unprimeable number, because it can be changed into a prime (8002823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28442 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (800296).

Almost surely, 2^8002820 is an apocalyptic number.

It is an amenable number.

8002820 is an abundant number, since it is smaller than the sum of its proper divisors (11204284).

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

8002820 is a wasteful number, since it uses less digits than its factorization.

8002820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57179 (or 57177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8002820 is about 2828.9255911034. The cubic root of 8002820 is about 200.0234972393.

Adding to 8002820 its reverse (282008), we get a palindrome (8284828).

The spelling of 8002820 in words is "eight million, two thousand, eight hundred twenty".