80709457668840 has 3072 divisors, whose sum is σ = 374261673139200. Its totient is φ = 15395494625280.

The previous prime is 80709457668821. The next prime is 80709457668869. The reversal of 80709457668840 is 4886675490708.

80709457668840 is a `hidden beast` number, since 8 + 0 + 7 + 0 + 9 + 4 + 576 + 6 + 8 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 216379242894 + ... + 216379243266.

It is an arithmetic number, because the mean of its divisors is an integer number (121829971725).

Almost surely, 2^{80709457668840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80709457668840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187130836569600).

80709457668840 is an abundant number, since it is smaller than the sum of its proper divisors (293552215470360).

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

80709457668840 is a wasteful number, since it uses less digits than its factorization.

80709457668840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 80709457668840 in words is "eighty trillion, seven hundred nine billion, four hundred fifty-seven million, six hundred sixty-eight thousand, eight hundred forty".