77868355968 has 640 divisors, whose sum is σ = 258767308800. Its totient is φ = 23096586240.

The previous prime is 77868355927. The next prime is 77868355969. The reversal of 77868355968 is 86955386877.

77868355968 is a `hidden beast` number, since 7 + 7 + 8 + 6 + 8 + 3 + 559 + 68 = 666.

It is a super-2 number, since 2×77868355968² (a number of 23 digits) contains 22 as substring.

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 = 77868355896 and 77868355905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77868355969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 756003405 + ... + 756003507.

It is an arithmetic number, because the mean of its divisors is an integer number (404323920).

Almost surely, 2^77868355968 is an apocalyptic number.

77868355968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77868355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129383654400).

77868355968 is an abundant number, since it is smaller than the sum of its proper divisors (180898952832).

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

77868355968 is a wasteful number, since it uses less digits than its factorization.

77868355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 77868355968 in words is "seventy-seven billion, eight hundred sixty-eight million, three hundred fifty-five thousand, nine hundred sixty-eight".