78380047768320 has 720 divisors, whose sum is σ = 292895643237120. Its totient is φ = 19975946969088.

The previous prime is 78380047768291. The next prime is 78380047768331. The reversal of 78380047768320 is 2386774008387.

78380047768320 is a `hidden beast` number, since 7 + 8 + 3 + 80 + 0 + 477 + 6 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×78380047768320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3002248707 + ... + 3002274813.

It is an arithmetic number, because the mean of its divisors is an integer number (406799504496).

Almost surely, 2^{78380047768320} 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 78380047768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146447821618560).

78380047768320 is an abundant number, since it is smaller than the sum of its proper divisors (214515595468800).

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

78380047768320 is a wasteful number, since it uses less digits than its factorization.

78380047768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422 (or 27399 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 78380047768320 in words is "seventy-eight trillion, three hundred eighty billion, forty-seven million, seven hundred sixty-eight thousand, three hundred twenty".