80010 has 48 divisors (see below), whose sum is σ = 239616. Its totient is φ = 18144.

The previous prime is 79999. The next prime is 80021. The reversal of 80010 is 1008.

It is an interprime number because it is at equal distance from previous prime (79999) and next prime (80021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 79974 and 80001.

It is a congruent number.

It is an unprimeable number.

80010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 567 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

2⁸⁰⁰¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808).

80010 is an abundant number, since it is smaller than the sum of its proper divisors (159606).

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

80010 is a wasteful number, since it uses less digits than its factorization.

80010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 80010 is about 282.8603895918. The cubic root of 80010 is about 43.0904890881.

Adding to 80010 its reverse (1008), we get a palindrome (81018).

The spelling of 80010 in words is "eighty thousand, ten".