80579664 has 160 divisors (see below), whose sum is σ = 260935680. Its totient is φ = 23587200.

The previous prime is 80579651. The next prime is 80579669. The reversal of 80579664 is 46697508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80579669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 147039 + ... + 147585.

It is an arithmetic number, because the mean of its divisors is an integer number (1630848).

Almost surely, 2^80579664 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 80579664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130467840).

80579664 is an abundant number, since it is smaller than the sum of its proper divisors (180356016).

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

80579664 is a wasteful number, since it uses less digits than its factorization.

80579664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 80579664 is about 8976.6176258098. The cubic root of 80579664 is about 431.9251413499.

The spelling of 80579664 in words is "eighty million, five hundred seventy-nine thousand, six hundred sixty-four".