80759328 has 96 divisors (see below), whose sum is σ = 230279616. Its totient is φ = 24634368.

The previous prime is 80759323. The next prime is 80759339. The reversal of 80759328 is 82395708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 80759328.

It is not an unprimeable number, because it can be changed into a prime (80759323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203226 + ... + 203622.

It is an arithmetic number, because the mean of its divisors is an integer number (2398746).

Almost surely, 2^80759328 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 80759328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115139808).

80759328 is an abundant number, since it is smaller than the sum of its proper divisors (149520288).

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

80759328 is a wasteful number, since it uses less digits than its factorization.

80759328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 80759328 is about 8986.6193866214. The cubic root of 80759328 is about 432.2459162269.

The spelling of 80759328 in words is "eighty million, seven hundred fifty-nine thousand, three hundred twenty-eight".