80312832 has 120 divisors (see below), whose sum is σ = 240179940. Its totient is φ = 25804800.

The previous prime is 80312831. The next prime is 80312851. The reversal of 80312832 is 23821308.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 3154176 = 8784^2 + 1776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80312796 and 80312805.

It is not an unprimeable number, because it can be changed into a prime (80312831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133332 + ... + 133932.

Almost surely, 2^80312832 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 80312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120089970).

80312832 is an abundant number, since it is smaller than the sum of its proper divisors (159867108).

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

80312832 is a wasteful number, since it uses less digits than its factorization.

80312832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80312832 is about 8961.7426876696. The cubic root of 80312832 is about 431.4478542656.

The spelling of 80312832 in words is "eighty million, three hundred twelve thousand, eight hundred thirty-two".