78978905772480 has 1344 divisors, whose sum is σ = 326175468917760. Its totient is φ = 17937651916800.

The previous prime is 78978905772467. The next prime is 78978905772539. The reversal of 78978905772480 is 8427750987987.

78978905772480 is a `hidden beast` number, since 7 + 8 + 9 + 7 + 89 + 0 + 57 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 78978905772480.

It is a congruent number.

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, 52269294925 + ... + 52269296435.

It is an arithmetic number, because the mean of its divisors is an integer number (242690081040).

Almost surely, 2^{78978905772480} is an apocalyptic number.

78978905772480 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 78978905772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163087734458880).

78978905772480 is an abundant number, since it is smaller than the sum of its proper divisors (247196563145280).

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

78978905772480 is a wasteful number, since it uses less digits than its factorization.

78978905772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 3982970880, while the sum is 81.

The spelling of 78978905772480 in words is "seventy-eight trillion, nine hundred seventy-eight billion, nine hundred five million, seven hundred seventy-two thousand, four hundred eighty".