802420 has 24 divisors (see below), whose sum is σ = 1719144. Its totient is φ = 314496.

The previous prime is 802387. The next prime is 802421. The reversal of 802420 is 24208.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 620944 = 426^2 + 788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 802394 and 802403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802421) 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, 682 + ... + 1438.

It is an arithmetic number, because the mean of its divisors is an integer number (71631).

2⁸⁰²⁴²⁰ is an apocalyptic number.

It is an amenable number.

802420 is an abundant number, since it is smaller than the sum of its proper divisors (916724).

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

802420 is a wasteful number, since it uses less digits than its factorization.

802420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 802420 is about 895.7789905998. The cubic root of 802420 is about 92.9252878199.

Adding to 802420 its reverse (24208), we get a palindrome (826628).

It can be divided in two parts, 80 and 2420, that multiplied together give a square (193600 = 440²).

The spelling of 802420 in words is "eight hundred two thousand, four hundred twenty".