80730 has 64 divisors (see below), whose sum is σ = 241920. Its totient is φ = 19008.

The previous prime is 80713. The next prime is 80737. The reversal of 80730 is 3708.

80730 is nontrivially palindromic in base 8.

80730 is a nontrivial binomial coefficient, being equal to C(27, 5).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3499 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁸⁰⁷³⁰ is an apocalyptic number.

80730 is the 180-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

80730 is an abundant number, since it is smaller than the sum of its proper divisors (161190).

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

80730 is a wasteful number, since it uses less digits than its factorization.

80730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 80730 is about 284.1302518212. The cubic root of 80730 is about 43.2193586078.

The spelling of 80730 in words is "eighty thousand, seven hundred thirty".