77110686607680 has 1120 divisors, whose sum is σ = 316006590670848. Its totient is φ = 17665183641600.

The previous prime is 77110686607651. The next prime is 77110686607723. The reversal of 77110686607680 is 8670668601177.

77110686607680 is a `hidden beast` number, since 7 + 7 + 1 + 10 + 6 + 8 + 6 + 607 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 544223245 + ... + 544364915.

Almost surely, 2^{77110686607680} 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 77110686607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158003295335424).

77110686607680 is an abundant number, since it is smaller than the sum of its proper divisors (238895904063168).

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

77110686607680 is a wasteful number, since it uses less digits than its factorization.

77110686607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141817 (or 141798 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 77110686607680 in words is "seventy-seven trillion, one hundred ten billion, six hundred eighty-six million, six hundred seven thousand, six hundred eighty".