77791341603600 has 405 divisors, whose sum is σ = 286804698114207. Its totient is φ = 19521843517440.

The previous prime is 77791341603557. The next prime is 77791341603607. The reversal of 77791341603600 is 630614319777.

The square root of 77791341603600 is 8819940.

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

77791341603600 is a `hidden beast` number, since 7 + 7 + 7 + 9 + 13 + 4 + 16 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1819617540624 + 75971724062976 = 1348932^2 + 8716176^2 .

It is not an unprimeable number, because it can be changed into a prime (77791341603607) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 8996334477 + ... + 8996343123.

Almost surely, 2^{77791341603600} is an apocalyptic number.

77791341603600 is the 8819940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77791341603600

77791341603600 is an abundant number, since it is smaller than the sum of its proper divisors (209013356510607).

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

77791341603600 is an equidigital number, since it uses as much as digits as its factorization.

77791341603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17352 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 77791341603600 in words is "seventy-seven trillion, seven hundred ninety-one billion, three hundred forty-one million, six hundred three thousand, six hundred".