80420 has 12 divisors (see below), whose sum is σ = 168924. Its totient is φ = 32160.

The previous prime is 80407. The next prime is 80429. The reversal of 80420 is 2408.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 65536 = 122^2 + 256^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 80395 and 80404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80420.

It is not an unprimeable number, because it can be changed into a prime (80429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1991 + ... + 2030.

It is an arithmetic number, because the mean of its divisors is an integer number (14077).

2⁸⁰⁴²⁰ is an apocalyptic number.

It is an amenable number.

80420 is an abundant number, since it is smaller than the sum of its proper divisors (88504).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84462).

80420 is a wasteful number, since it uses less digits than its factorization.

80420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 80420 is about 283.5842026630. The cubic root of 80420 is about 43.1639674392.

Adding to 80420 its reverse (2408), we get a palindrome (82828).

The spelling of 80420 in words is "eighty thousand, four hundred twenty".