80761742392800 has 1152 divisors, whose sum is σ = 312902106983424. Its totient is φ = 17709194280960.

The previous prime is 80761742392781. The next prime is 80761742392801. The reversal of 80761742392800 is 829324716708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80761742392801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17063539234 + ... + 17063543966.

It is an arithmetic number, because the mean of its divisors is an integer number (271616412312).

Almost surely, 2^{80761742392800} is an apocalyptic number.

80761742392800 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 80761742392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156451053491712).

80761742392800 is an abundant number, since it is smaller than the sum of its proper divisors (232140364590624).

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

80761742392800 is a wasteful number, since it uses less digits than its factorization.

80761742392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 80761742392800 in words is "eighty trillion, seven hundred sixty-one billion, seven hundred forty-two million, three hundred ninety-two thousand, eight hundred".