77327563680 has 240 divisors, whose sum is σ = 276359973120. Its totient is φ = 20359392768.

The previous prime is 77327563673. The next prime is 77327563681. The reversal of 77327563680 is 8636572377.

77327563680 is a `hidden beast` number, since 7 + 7 + 3 + 275 + 6 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (77327563681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 986077 + ... + 1061603.

It is an arithmetic number, because the mean of its divisors is an integer number (1151499888).

Almost surely, 2^77327563680 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 77327563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138179986560).

77327563680 is an abundant number, since it is smaller than the sum of its proper divisors (199032409440).

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

77327563680 is a wasteful number, since it uses less digits than its factorization.

77327563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75633 (or 75616 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 77327563680 in words is "seventy-seven billion, three hundred twenty-seven million, five hundred sixty-three thousand, six hundred eighty".