78417876768 has 864 divisors, whose sum is σ = 287551192320. Its totient is φ = 18448819200.

The previous prime is 78417876767. The next prime is 78417876827. The reversal of 78417876768 is 86767871487.

It is a super-2 number, since 2×78417876768² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78417876767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 944793655 + ... + 944793737.

It is an arithmetic number, because the mean of its divisors is an integer number (332813880).

Almost surely, 2^78417876768 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 78417876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143775596160).

78417876768 is an abundant number, since it is smaller than the sum of its proper divisors (209133315552).

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

78417876768 is a wasteful number, since it uses less digits than its factorization.

78417876768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 156 counting only the distinct ones).

The product of its digits is 177020928, while the sum is 69.

The spelling of 78417876768 in words is "seventy-eight billion, four hundred seventeen million, eight hundred seventy-six thousand, seven hundred sixty-eight".