80715584 has 56 divisors (see below), whose sum is σ = 167350440. Its totient is φ = 38578176.

The previous prime is 80715571. The next prime is 80715617. The reversal of 80715584 is 48551708.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 79566400 = 1072^2 + 8920^2 .

It is a super-2 number, since 2×80715584² = 13030011000922112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291254 + ... + 291530.

Almost surely, 2^80715584 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 80715584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83675220).

80715584 is an abundant number, since it is smaller than the sum of its proper divisors (86634856).

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

80715584 is a wasteful number, since it uses less digits than its factorization.

80715584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 80715584 is about 8984.1852162564. The cubic root of 80715584 is about 432.1678588649.

The spelling of 80715584 in words is "eighty million, seven hundred fifteen thousand, five hundred eighty-four".