78861484327680 has 1728 divisors, whose sum is σ = 303607536906240. Its totient is φ = 19362004992000.

The previous prime is 78861484327667. The next prime is 78861484327699. The reversal of 78861484327680 is 8672348416887.

78861484327680 is a `hidden beast` number, since 7 + 8 + 8 + 6 + 1 + 48 + 432 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×78861484327680² (a number of 29 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 = 78861484327599 and 78861484327608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196662055480 + ... + 196662055880.

It is an arithmetic number, because the mean of its divisors is an integer number (175698806080).

Almost surely, 2^{78861484327680} 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 78861484327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151803768453120).

78861484327680 is an abundant number, since it is smaller than the sum of its proper divisors (224746052578560).

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

78861484327680 is a wasteful number, since it uses less digits than its factorization.

78861484327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 78861484327680 in words is "seventy-eight trillion, eight hundred sixty-one billion, four hundred eighty-four million, three hundred twenty-seven thousand, six hundred eighty".