77918153419876 has 405 divisors, whose sum is σ = 184444950301731. Its totient is φ = 28695221200800.

The previous prime is 77918153419859. The next prime is 77918153419879. The reversal of 77918153419876 is 67891435181977.

The square root of 77918153419876 is 8827126.

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

77918153419876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (77918153419879) 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, 1812050079511 + ... + 1812050079553.

Almost surely, 2^{77918153419876} is an apocalyptic number.

77918153419876 is the 8827126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77918153419876

77918153419876 is an abundant number, since it is smaller than the sum of its proper divisors (106526796881855).

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

77918153419876 is an frugal number, since it uses more digits than its factorization.

77918153419876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 94 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 76.

The spelling of 77918153419876 in words is "seventy-seven trillion, nine hundred eighteen billion, one hundred fifty-three million, four hundred nineteen thousand, eight hundred seventy-six".