77093576064 has 160 divisors (see below), whose sum is σ = 231239712000. Its totient is φ = 25495077888.

The previous prime is 77093576047. The next prime is 77093576129. The reversal of 77093576064 is 46067539077.

77093576064 is a `hidden beast` number, since 7 + 7 + 0 + 9 + 3 + 576 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77093576064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1287462 + ... + 1346010.

It is an arithmetic number, because the mean of its divisors is an integer number (1445248200).

Almost surely, 2^77093576064 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 77093576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115619856000).

77093576064 is an abundant number, since it is smaller than the sum of its proper divisors (154146135936).

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

77093576064 is a wasteful number, since it uses less digits than its factorization.

77093576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58702 (or 58681 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 77093576064 in words is "seventy-seven billion, ninety-three million, five hundred seventy-six thousand, sixty-four".