77974880256 has 720 divisors, whose sum is σ = 287825328000. Its totient is φ = 20426784768.

The previous prime is 77974880219. The next prime is 77974880257. The reversal of 77974880256 is 65208847977.

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 = 77974880193 and 77974880202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77974880257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523321270 + ... + 523321418.

It is an arithmetic number, because the mean of its divisors is an integer number (399757400).

Almost surely, 2^77974880256 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 77974880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143912664000).

77974880256 is an abundant number, since it is smaller than the sum of its proper divisors (209850447744).

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

77974880256 is a wasteful number, since it uses less digits than its factorization.

77974880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 77974880256 in words is "seventy-seven billion, nine hundred seventy-four million, eight hundred eighty thousand, two hundred fifty-six".