80910 has 48 divisors (see below), whose sum is σ = 224640. Its totient is φ = 20160.

The previous prime is 80909. The next prime is 80911. The reversal of 80910 is 1908.

It is an interprime number because it is at equal distance from previous prime (80909) and next prime (80911).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595 + ... + 2625.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁸⁰⁹¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

80910 is an abundant number, since it is smaller than the sum of its proper divisors (143730).

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

80910 is a wasteful number, since it uses less digits than its factorization.

80910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 80910 is about 284.4468315872. The cubic root of 80910 is about 43.2514561751.

It can be divided in two parts, 80 and 910, that added together give a triangular number (990 = T₄₄).

The spelling of 80910 in words is "eighty thousand, nine hundred ten".