78056376842304 has 567 divisors, whose sum is σ = 266674020053103. Its totient is φ = 21765363669504.

The previous prime is 78056376842231. The next prime is 78056376842321. The reversal of 78056376842304 is 40324867365087.

The square root of 78056376842304 is 8834952.

It is a perfect power (a square), and thus also a powerful number.

78056376842304 is a `hidden beast` number, since 7 + 8 + 0 + 563 + 7 + 68 + 4 + 2 + 3 + 0 + 4 = 666.

78056376842304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63823692637 + ... + 63823693859.

Almost surely, 2^{78056376842304} is an apocalyptic number.

78056376842304 is the 8834952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78056376842304

78056376842304 is an abundant number, since it is smaller than the sum of its proper divisors (188617643210799).

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

78056376842304 is an equidigital number, since it uses as much as digits as its factorization.

78056376842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 78056376842304 in words is "seventy-eight trillion, fifty-six billion, three hundred seventy-six million, eight hundred forty-two thousand, three hundred four".