80681287680 has 840 divisors, whose sum is σ = 333503050272. Its totient is φ = 18345885696.

The previous prime is 80681287667. The next prime is 80681287711. The reversal of 80681287680 is 8678218608.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 418037664 + ... + 418037856.

Almost surely, 2^80681287680 is an apocalyptic number.

80681287680 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 80681287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166751525136).

80681287680 is an abundant number, since it is smaller than the sum of its proper divisors (252821762592).

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

80681287680 is an frugal number, since it uses more digits than its factorization.

80681287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 80681287680 in words is "eighty billion, six hundred eighty-one million, two hundred eighty-seven thousand, six hundred eighty".