77789856816000 has 1024 divisors, whose sum is σ = 328643952998400. Its totient is φ = 17716158259200.

The previous prime is 77789856815987. The next prime is 77789856816013. The reversal of 77789856816000 is 61865898777.

77789856816000 is a `hidden beast` number, since 7 + 7 + 7 + 8 + 9 + 8 + 5 + 6 + 8 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77789856815987) and next prime (77789856816013).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 77789856816000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837601567 + ... + 837694433.

It is an arithmetic number, because the mean of its divisors is an integer number (320941360350).

Almost surely, 2^{77789856816000} is an apocalyptic number.

77789856816000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77789856816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164321976499200).

77789856816000 is an abundant number, since it is smaller than the sum of its proper divisors (250854096182400).

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

77789856816000 is a wasteful number, since it uses less digits than its factorization.

77789856816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93189 (or 93161 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 77789856816000 in words is "seventy-seven trillion, seven hundred eighty-nine billion, eight hundred fifty-six million, eight hundred sixteen thousand".