77859031680000 has 1760 divisors, whose sum is σ = 309462609265920. Its totient is φ = 19260702720000.

The previous prime is 77859031679999. The next prime is 77859031680077. The reversal of 77859031680000 is 8613095877.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20856958134 + ... + 20856961866.

It is an arithmetic number, because the mean of its divisors is an integer number (175831027992).

Almost surely, 2^{77859031680000} 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 77859031680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154731304632960).

77859031680000 is an abundant number, since it is smaller than the sum of its proper divisors (231603577585920).

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

77859031680000 is a wasteful number, since it uses less digits than its factorization.

77859031680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 77859031680000 in words is "seventy-seven trillion, eight hundred fifty-nine billion, thirty-one million, six hundred eighty thousand".