78718984807680 has 576 divisors, whose sum is σ = 320030178854400. Its totient is φ = 17948895805440.

The previous prime is 78718984807627. The next prime is 78718984807703. The reversal of 78718984807680 is 8670848981787.

78718984807680 is a `hidden beast` number, since 7 + 8 + 71 + 8 + 9 + 8 + 480 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×78718984807680⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78718984807680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98547490 + ... + 99343070.

It is an arithmetic number, because the mean of its divisors is an integer number (555607949400).

Almost surely, 2^{78718984807680} is an apocalyptic number.

78718984807680 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 78718984807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160015089427200).

78718984807680 is an abundant number, since it is smaller than the sum of its proper divisors (241311194046720).

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

78718984807680 is a wasteful number, since it uses less digits than its factorization.

78718984807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796027 (or 796007 counting only the distinct ones).

The product of its (nonzero) digits is 2427715584, while the sum is 81.

The spelling of 78718984807680 in words is "seventy-eight trillion, seven hundred eighteen billion, nine hundred eighty-four million, eight hundred seven thousand, six hundred eighty".