78727467122500 has 405 divisors, whose sum is σ = 203080749561921. Its totient is φ = 26618550000000.

The previous prime is 78727467122471. The next prime is 78727467122501. The reversal of 78727467122500 is 522176472787.

The square root of 78727467122500 is 8872850.

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

78727467122500 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 7 ways, for example, as 16990240974084 + 61737226148416 = 4121922^2 + 7857304^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78727467122501) 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, 313655247375 + ... + 313655247625.

Almost surely, 2^{78727467122500} is an apocalyptic number.

78727467122500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78727467122500 is the 8872850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78727467122500

78727467122500 is an abundant number, since it is smaller than the sum of its proper divisors (124353282439421).

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

78727467122500 is an equidigital number, since it uses as much as digits as its factorization.

78727467122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 58.

The spelling of 78727467122500 in words is "seventy-eight trillion, seven hundred twenty-seven billion, four hundred sixty-seven million, one hundred twenty-two thousand, five hundred".