80032752 has 80 divisors (see below), whose sum is σ = 231012000. Its totient is φ = 26528256.

The previous prime is 80032727. The next prime is 80032759. The reversal of 80032752 is 25723008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80032759) 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, 98524 + ... + 99332.

It is an arithmetic number, because the mean of its divisors is an integer number (2887650).

Almost surely, 2^80032752 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 80032752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115506000).

80032752 is an abundant number, since it is smaller than the sum of its proper divisors (150979248).

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

80032752 is a wasteful number, since it uses less digits than its factorization.

80032752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 80032752 is about 8946.1026151056. The cubic root of 80032752 is about 430.9457316879.

The spelling of 80032752 in words is "eighty million, thirty-two thousand, seven hundred fifty-two".