6802820 has 48 divisors (see below), whose sum is σ = 15225840. Its totient is φ = 2548224.

The previous prime is 6802819. The next prime is 6802823. The reversal of 6802820 is 282086.

It can be written as a sum of positive squares in 8 ways, for example, as 73984 + 6728836 = 272^2 + 2594^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6802820.

It is not an unprimeable number, because it can be changed into a prime (6802823) 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, 21302 + ... + 21618.

It is an arithmetic number, because the mean of its divisors is an integer number (317205).

Almost surely, 2^6802820 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 6802820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612920).

6802820 is an abundant number, since it is smaller than the sum of its proper divisors (8423020).

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

6802820 is a wasteful number, since it uses less digits than its factorization.

6802820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6802820 is about 2608.2216163509. The cubic root of 6802820 is about 189.4798329984.

The spelling of 6802820 in words is "six million, eight hundred two thousand, eight hundred twenty".