78455847214080 has 704 divisors, whose sum is σ = 323405269294080. Its totient is φ = 17665097269248.

The previous prime is 78455847214061. The next prime is 78455847214081. The reversal of 78455847214080 is 8041274855487.

78455847214080 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 584 + 7 + 2 + 1 + 40 + 8 + 0 = 666.

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 = 78455847213999 and 78455847214017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78455847214081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64229514 + ... + 65439606.

Almost surely, 2^{78455847214080} is an apocalyptic number.

78455847214080 is a gapful number since it is divisible by the number (70) 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 78455847214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161702634647040).

78455847214080 is an abundant number, since it is smaller than the sum of its proper divisors (244949422080000).

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

78455847214080 is a wasteful number, since it uses less digits than its factorization.

78455847214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210201 (or 1210177 counting only the distinct ones).

The product of its (nonzero) digits is 80281600, while the sum is 63.

The spelling of 78455847214080 in words is "seventy-eight trillion, four hundred fifty-five billion, eight hundred forty-seven million, two hundred fourteen thousand, eighty".