80771441760 has 384 divisors, whose sum is σ = 302009420160. Its totient is φ = 20090585088.

The previous prime is 80771441759. The next prime is 80771441767. The reversal of 80771441760 is 6714417708.

80771441760 is a `hidden beast` number, since 80 + 7 + 71 + 441 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80771441767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8293854 + ... + 8303586.

It is an arithmetic number, because the mean of its divisors is an integer number (786482865).

Almost surely, 2^80771441760 is an apocalyptic number.

80771441760 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 80771441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151004710080).

80771441760 is an abundant number, since it is smaller than the sum of its proper divisors (221237978400).

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

80771441760 is a wasteful number, since it uses less digits than its factorization.

80771441760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 80771441760 in words is "eighty billion, seven hundred seventy-one million, four hundred forty-one thousand, seven hundred sixty".