77786128824516 has 288 divisors, whose sum is σ = 231440540647680. Its totient is φ = 21562950269952.

The previous prime is 77786128824487. The next prime is 77786128824571. The reversal of 77786128824516 is 61542882168777.

77786128824516 is a `hidden beast` number, since 7 + 7 + 7 + 8 + 6 + 1 + 2 + 88 + 24 + 516 = 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, 7441507146 + ... + 7441517598.

It is an arithmetic number, because the mean of its divisors is an integer number (803612988360).

Almost surely, 2^{77786128824516} 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 77786128824516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115720270323840).

77786128824516 is an abundant number, since it is smaller than the sum of its proper divisors (153654411823164).

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

77786128824516 is a wasteful number, since it uses less digits than its factorization.

77786128824516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12678 counting only the distinct ones).

The product of its digits is 505774080, while the sum is 72.

The spelling of 77786128824516 in words is "seventy-seven trillion, seven hundred eighty-six billion, one hundred twenty-eight million, eight hundred twenty-four thousand, five hundred sixteen".