77823982656 has 336 divisors, whose sum is σ = 267379704000. Its totient is φ = 22132002816.

The previous prime is 77823982567. The next prime is 77823982657. The reversal of 77823982656 is 65628932877.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 77823982593 and 77823982602.

It is not an unprimeable number, because it can be changed into a prime (77823982657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19218520 + ... + 19222568.

Almost surely, 2^77823982656 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 77823982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133689852000).

77823982656 is an abundant number, since it is smaller than the sum of its proper divisors (189555721344).

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

77823982656 is a wasteful number, since it uses less digits than its factorization.

77823982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4288 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 77823982656 in words is "seventy-seven billion, eight hundred twenty-three million, nine hundred eighty-two thousand, six hundred fifty-six".