802820 has 24 divisors (see below), whose sum is σ = 1704024. Its totient is φ = 317696.

The previous prime is 802811. The next prime is 802829. The reversal of 802820 is 28208.

It is an interprime number because it is at equal distance from previous prime (802811) and next prime (802829).

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 515524 = 536^2 + 718^2 .

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 = 802792 and 802801.

It is not an unprimeable number, because it can be changed into a prime (802829) 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, 2594 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (71001).

2⁸⁰²⁸²⁰ is an apocalyptic number.

It is an amenable number.

802820 is an abundant number, since it is smaller than the sum of its proper divisors (901204).

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

802820 is a wasteful number, since it uses less digits than its factorization.

802820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

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

The square root of 802820 is about 896.0022321401. The cubic root of 802820 is about 92.9407260944.

The spelling of 802820 in words is "eight hundred two thousand, eight hundred twenty".