76786514064 has 240 divisors, whose sum is σ = 233470789552. Its totient is φ = 23419072512.

The previous prime is 76786514027. The next prime is 76786514083. The reversal of 76786514064 is 46041568767.

76786514064 is a `hidden beast` number, since 7 + 67 + 8 + 6 + 514 + 0 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5279475600 + 71507038464 = 72660^2 + 267408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76786514064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193416714 + ... + 193417110.

Almost surely, 2^76786514064 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 76786514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116735394776).

76786514064 is an abundant number, since it is smaller than the sum of its proper divisors (156684275488).

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

76786514064 is a wasteful number, since it uses less digits than its factorization.

76786514064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 76786514064 in words is "seventy-six billion, seven hundred eighty-six million, five hundred fourteen thousand, sixty-four".