80708405760 has 960 divisors, whose sum is σ = 319890954240. Its totient is φ = 18750504960.

The previous prime is 80708405719. The next prime is 80708405809. The reversal of 80708405760 is 6750480708.

80708405760 is a `hidden beast` number, since 8 + 0 + 70 + 8 + 4 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2603496945 + ... + 2603496975.

It is an arithmetic number, because the mean of its divisors is an integer number (333219744).

Almost surely, 2^80708405760 is an apocalyptic number.

80708405760 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 80708405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159945477120).

80708405760 is an abundant number, since it is smaller than the sum of its proper divisors (239182548480).

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

80708405760 is a wasteful number, since it uses less digits than its factorization.

80708405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 80708405760 in words is "eighty billion, seven hundred eight million, four hundred five thousand, seven hundred sixty".