80832320 has 112 divisors (see below), whose sum is σ = 202393296. Its totient is φ = 30720000.

The previous prime is 80832317. The next prime is 80832337. The reversal of 80832320 is 2323808.

It can be written as a sum of positive squares in 8 ways, for example, as 10137856 + 70694464 = 3184^2 + 8408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80832320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800270 + ... + 800370.

It is an arithmetic number, because the mean of its divisors is an integer number (1807083).

Almost surely, 2^80832320 is an apocalyptic number.

80832320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101196648).

80832320 is an abundant number, since it is smaller than the sum of its proper divisors (121560976).

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

80832320 is a wasteful number, since it uses less digits than its factorization.

80832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 80832320 is about 8990.6796183603. The cubic root of 80832320 is about 432.3761013673.

It can be divided in two parts, 80 and 832320, that multiplied together give a square (66585600 = 8160²).

The spelling of 80832320 in words is "eighty million, eight hundred thirty-two thousand, three hundred twenty".