77847588864 has 546 divisors, whose sum is σ = 249531410336. Its totient is φ = 24246190080.

The previous prime is 77847588853. The next prime is 77847588869. The reversal of 77847588864 is 46888574877.

It is a happy number.

77847588864 is a `hidden beast` number, since 7 + 78 + 475 + 8 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77847588792 and 77847588801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77847588869) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2511212529 + ... + 2511212559.

Almost surely, 2^77847588864 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 77847588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124765705168).

77847588864 is an abundant number, since it is smaller than the sum of its proper divisors (171683821472).

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

77847588864 is an frugal number, since it uses more digits than its factorization.

77847588864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 65 counting only the distinct ones).

The product of its digits is 674365440, while the sum is 72.

The spelling of 77847588864 in words is "seventy-seven billion, eight hundred forty-seven million, five hundred eighty-eight thousand, eight hundred sixty-four".