77523420128 has 384 divisors, whose sum is σ = 209687740416. Its totient is φ = 27284889600.

The previous prime is 77523420113. The next prime is 77523420187. The reversal of 77523420128 is 82102432577.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294765725 + ... + 294765987.

It is an arithmetic number, because the mean of its divisors is an integer number (546061824).

Almost surely, 2^77523420128 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 77523420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104843870208).

77523420128 is an abundant number, since it is smaller than the sum of its proper divisors (132164320288).

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

77523420128 is a wasteful number, since it uses less digits than its factorization.

77523420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 77523420128 in words is "seventy-seven billion, five hundred twenty-three million, four hundred twenty thousand, one hundred twenty-eight".