80730144 has 144 divisors (see below), whose sum is σ = 265356000. Its totient is φ = 23009280.

The previous prime is 80730101. The next prime is 80730149. The reversal of 80730144 is 44103708.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (80730149) 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, 53107 + ... + 54605.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^80730144 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 80730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132678000).

80730144 is an abundant number, since it is smaller than the sum of its proper divisors (184625856).

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

80730144 is a wasteful number, since it uses less digits than its factorization.

80730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80730144 is about 8984.9954924863. The cubic root of 80730144 is about 432.1938430487.

The spelling of 80730144 in words is "eighty million, seven hundred thirty thousand, one hundred forty-four".