80758964800 has 84 divisors (see below), whose sum is σ = 199457317620. Its totient is φ = 32183326720.

The previous prime is 80758964791. The next prime is 80758964813. The reversal of 80758964800 is 846985708.

It can be written as a sum of positive squares in 6 ways, for example, as 10466108416 + 70292856384 = 102304^2 + 265128^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 336582 + ... + 524218.

Almost surely, 2^80758964800 is an apocalyptic number.

80758964800 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 80758964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99728658810).

80758964800 is an abundant number, since it is smaller than the sum of its proper divisors (118698352820).

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

80758964800 is a wasteful number, since it uses less digits than its factorization.

80758964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187928 (or 187913 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 80758964800 in words is "eighty billion, seven hundred fifty-eight million, nine hundred sixty-four thousand, eight hundred".