76785560064 has 320 divisors, whose sum is σ = 231658922880. Its totient is φ = 25108807680.

The previous prime is 76785560041. The next prime is 76785560119. The reversal of 76785560064 is 46006558767.

76785560064 is a `hidden beast` number, since 7 + 6 + 78 + 5 + 560 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231980379 + ... + 231980709.

It is an arithmetic number, because the mean of its divisors is an integer number (723934134).

Almost surely, 2^76785560064 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 76785560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115829461440).

76785560064 is an abundant number, since it is smaller than the sum of its proper divisors (154873362816).

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

76785560064 is a wasteful number, since it uses less digits than its factorization.

76785560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 76785560064 in words is "seventy-six billion, seven hundred eighty-five million, five hundred sixty thousand, sixty-four".