77732084765016 has 256 divisors, whose sum is σ = 241047530380800. Its totient is φ = 23005682380800.

The previous prime is 77732084764993. The next prime is 77732084765107. The reversal of 77732084765016 is 61056748023777.

77732084765016 is a `hidden beast` number, since 7 + 77 + 32 + 0 + 8 + 476 + 50 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2318890336 + ... + 2318923856.

It is an arithmetic number, because the mean of its divisors is an integer number (941591915550).

Almost surely, 2^{77732084765016} 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 77732084765016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120523765190400).

77732084765016 is an abundant number, since it is smaller than the sum of its proper divisors (163315445615784).

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

77732084765016 is a wasteful number, since it uses less digits than its factorization.

77732084765016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56287 (or 56277 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 77732084765016 in words is "seventy-seven trillion, seven hundred thirty-two billion, eighty-four million, seven hundred sixty-five thousand, sixteen".