80805588480 has 480 divisors, whose sum is σ = 290108003328. Its totient is φ = 20772864000.

The previous prime is 80805588473. The next prime is 80805588499. The reversal of 80805588480 is 8488550808.

It is a happy number.

80805588480 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 558 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76883955 + ... + 76885005.

Almost surely, 2^80805588480 is an apocalyptic number.

80805588480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80805588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145054001664).

80805588480 is an abundant number, since it is smaller than the sum of its proper divisors (209302414848).

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

80805588480 is a wasteful number, since it uses less digits than its factorization.

80805588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The spelling of 80805588480 in words is "eighty billion, eight hundred five million, five hundred eighty-eight thousand, four hundred eighty".