77978879750016 has 576 divisors, whose sum is σ = 274404081959280. Its totient is φ = 21974447480832.

The previous prime is 77978879750011. The next prime is 77978879750033. The reversal of 77978879750016 is 61005797887977.

77978879750016 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 8 + 8 + 7 + 97 + 500 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77978879750011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110908570 + ... + 111609446.

Almost surely, 2^{77978879750016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77978879750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137202040979640).

77978879750016 is an abundant number, since it is smaller than the sum of its proper divisors (196425202209264).

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

77978879750016 is an equidigital number, since it uses as much as digits as its factorization.

77978879750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700993 (or 700962 counting only the distinct ones).

The product of its (nonzero) digits is 2613824640, while the sum is 81.

The spelling of 77978879750016 in words is "seventy-seven trillion, nine hundred seventy-eight billion, eight hundred seventy-nine million, seven hundred fifty thousand, sixteen".