80045952 has 128 divisors (see below), whose sum is σ = 246301440. Its totient is φ = 22560768.

The previous prime is 80045921. The next prime is 80045963. The reversal of 80045952 is 25954008.

It is a tau number, because it is divible by the number of its divisors (128).

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, 260583 + ... + 260889.

It is an arithmetic number, because the mean of its divisors is an integer number (1924230).

Almost surely, 2^80045952 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 80045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123150720).

80045952 is an abundant number, since it is smaller than the sum of its proper divisors (166255488).

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

80045952 is a wasteful number, since it uses less digits than its factorization.

80045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 80045952 is about 8946.8403361187. The cubic root of 80045952 is about 430.9694227011.

The spelling of 80045952 in words is "eighty million, forty-five thousand, nine hundred fifty-two".