78760022016 has 208 divisors, whose sum is σ = 229054434560. Its totient is φ = 23927095296.

The previous prime is 78760021943. The next prime is 78760022093. The reversal of 78760022016 is 61022006787.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996962265 + ... + 996962343.

Almost surely, 2^78760022016 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 78760022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114527217280).

78760022016 is an abundant number, since it is smaller than the sum of its proper divisors (150294412544).

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

78760022016 is an frugal number, since it uses more digits than its factorization.

78760022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

78760022016 divided by its sum of digits (39) gives a cube (2019487744 = 1264³).

The spelling of 78760022016 in words is "seventy-eight billion, seven hundred sixty million, twenty-two thousand, sixteen".