80920 has 48 divisors (see below), whose sum is σ = 221040. Its totient is φ = 26112.

The previous prime is 80917. The next prime is 80923. The reversal of 80920 is 2908.

It is an interprime number because it is at equal distance from previous prime (80917) and next prime (80923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80923) 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 11 ways as a sum of consecutive naturals, for example, 4752 + ... + 4768.

It is an arithmetic number, because the mean of its divisors is an integer number (4605).

2⁸⁰⁹²⁰ 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 80920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110520).

80920 is an abundant number, since it is smaller than the sum of its proper divisors (140120).

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

80920 is a wasteful number, since it uses less digits than its factorization.

80920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 80920 is about 284.4644090216. The cubic root of 80920 is about 43.2532379769.

It can be divided in two parts, 80 and 920, that added together give a cube (1000 = 10³).

The spelling of 80920 in words is "eighty thousand, nine hundred twenty".