77059817856 has 768 divisors, whose sum is σ = 278014464000. Its totient is φ = 21215416320.

The previous prime is 77059817851. The next prime is 77059817867. The reversal of 77059817856 is 65871895077.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 77059817793 and 77059817802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77059817851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330728716 + ... + 330728948.

It is an arithmetic number, because the mean of its divisors is an integer number (361998000).

Almost surely, 2^77059817856 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 77059817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232000).

77059817856 is an abundant number, since it is smaller than the sum of its proper divisors (200954646144).

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

77059817856 is an equidigital number, since it uses as much as digits as its factorization.

77059817856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 77059817856 in words is "seventy-seven billion, fifty-nine million, eight hundred seventeen thousand, eight hundred fifty-six".