81480 has 64 divisors (see below), whose sum is σ = 282240. Its totient is φ = 18432.

The previous prime is 81463. The next prime is 81509. The reversal of 81480 is 8418.

81480 = T₁₆ + T₁₇ + ... + T₇₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 81480.

It is an unprimeable number.

81480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁸¹⁴⁸⁰ 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 81480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

81480 is an abundant number, since it is smaller than the sum of its proper divisors (200760).

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

81480 is a wasteful number, since it uses less digits than its factorization.

81480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 81480 is about 285.4470178509. The cubic root of 81480 is about 43.3527854810.

Adding to 81480 its reverse (8418), we get a palindrome (89898).

It can be divided in two parts, 81 and 480, that added together give a triangular number (561 = T₃₃).

The spelling of 81480 in words is "eighty-one thousand, four hundred eighty".