78737227560000 has 945 divisors, whose sum is σ = 295271226148899. Its totient is φ = 20052464256000.

The previous prime is 78737227559993. The next prime is 78737227560001. The reversal of 78737227560000 is 6572273787.

It is a happy number.

The square root of 78737227560000 is 8873400.

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

78737227560000 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 7 + 2 + 27 + 5 + 600 + 0 + 0 = 666.

78737227560000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6172998640704 + 72564228919296 = 2484552^2 + 8518464^2 .

It is not an unprimeable number, because it can be changed into a prime (78737227560001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 122452919679 + ... + 122452920321.

Almost surely, 2^{78737227560000} is an apocalyptic number.

78737227560000 is the 8873400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78737227560000

78737227560000 is an abundant number, since it is smaller than the sum of its proper divisors (216533998588899).

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

78737227560000 is an frugal number, since it uses more digits than its factorization.

78737227560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 78737227560000 in words is "seventy-eight trillion, seven hundred thirty-seven billion, two hundred twenty-seven million, five hundred sixty thousand".