78946805224080 has 320 divisors, whose sum is σ = 272349800997120. Its totient is φ = 21019833483264.

The previous prime is 78946805224069. The next prime is 78946805224169. The reversal of 78946805224080 is 8042250864987.

78946805224080 is a `hidden beast` number, since 7 + 8 + 9 + 4 + 68 + 0 + 522 + 40 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 78946805223999 and 78946805224017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10678584864 + ... + 10678592256.

It is an arithmetic number, because the mean of its divisors is an integer number (851093128116).

Almost surely, 2^{78946805224080} 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 78946805224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136174900498560).

78946805224080 is an abundant number, since it is smaller than the sum of its proper divisors (193402995773040).

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

78946805224080 is a wasteful number, since it uses less digits than its factorization.

78946805224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 78946805224080 in words is "seventy-eight trillion, nine hundred forty-six billion, eight hundred five million, two hundred twenty-four thousand, eighty".