78216866640900 has 405 divisors, whose sum is σ = 274588498532271. Its totient is φ = 19250835477120.

The previous prime is 78216866640889. The next prime is 78216866640929. The reversal of 78216866640900 is 904666861287.

The square root of 78216866640900 is 8844030.

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

78216866640900 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 4 ways, for example, as 20160513082116 + 58056353558784 = 4490046^2 + 7619472^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×78216866640900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10347511321 + ... + 10347518879.

Almost surely, 2^{78216866640900} is an apocalyptic number.

78216866640900 is the 8844030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78216866640900

78216866640900 is an abundant number, since it is smaller than the sum of its proper divisors (196371631891371).

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

78216866640900 is an equidigital number, since it uses as much as digits as its factorization.

78216866640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 78216866640900 in words is "seventy-eight trillion, two hundred sixteen billion, eight hundred sixty-six million, six hundred forty thousand, nine hundred".