77834798816544 has 576 divisors, whose sum is σ = 288873985720320. Its totient is φ = 19289104128000.

The previous prime is 77834798816507. The next prime is 77834798816639. The reversal of 77834798816544 is 44561889743877.

77834798816544 is a `hidden beast` number, since 7 + 7 + 8 + 3 + 479 + 8 + 81 + 65 + 4 + 4 = 666.

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, 48012042 + ... + 49606710.

It is an arithmetic number, because the mean of its divisors is an integer number (501517336320).

Almost surely, 2^{77834798816544} 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 77834798816544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436992860160).

77834798816544 is an abundant number, since it is smaller than the sum of its proper divisors (211039186903776).

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

77834798816544 is a wasteful number, since it uses less digits than its factorization.

77834798816544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594805 (or 1594794 counting only the distinct ones).

The product of its digits is 9103933440, while the sum is 81.

The spelling of 77834798816544 in words is "seventy-seven trillion, eight hundred thirty-four billion, seven hundred ninety-eight million, eight hundred sixteen thousand, five hundred forty-four".