80805032 has 64 divisors (see below), whose sum is σ = 192983040. Its totient is φ = 30801600.

The previous prime is 80805007. The next prime is 80805037. The reversal of 80805032 is 23050808.

It is a junction number, because it is equal to n+sod(n) for n = 80804992 and 80805010.

It is not an unprimeable number, because it can be changed into a prime (80805037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27557 + ... + 30347.

It is an arithmetic number, because the mean of its divisors is an integer number (3015360).

Almost surely, 2^80805032 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 80805032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96491520).

80805032 is an abundant number, since it is smaller than the sum of its proper divisors (112178008).

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

80805032 is a wasteful number, since it uses less digits than its factorization.

80805032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 80805032 is about 8989.1619186663. The cubic root of 80805032 is about 432.3274409346.

The spelling of 80805032 in words is "eighty million, eight hundred five thousand, thirty-two".