77986137112576 has 435 divisors, whose sum is σ = 200002131087563. Its totient is φ = 30384209264640.

The previous prime is 77986137112523. The next prime is 77986137112607. The reversal of 77986137112576 is 67521173168977.

The square root of 77986137112576 is 8830976.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (186701760) is a multiple of the sum of its prime divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7089648828411 + ... + 7089648828421.

Almost surely, 2^{77986137112576} is an apocalyptic number.

77986137112576 is the 8830976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77986137112576

77986137112576 is an abundant number, since it is smaller than the sum of its proper divisors (122015993974987).

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

77986137112576 is an frugal number, since it uses more digits than its factorization.

77986137112576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 20 counting only the distinct ones).

The product of its digits is 186701760, while the sum is 70.

The spelling of 77986137112576 in words is "seventy-seven trillion, nine hundred eighty-six billion, one hundred thirty-seven million, one hundred twelve thousand, five hundred seventy-six".