77650405056 has 1008 divisors, whose sum is σ = 293433154560. Its totient is φ = 20222576640.

The previous prime is 77650405051. The next prime is 77650405097. The reversal of 77650405056 is 65050405677.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (77650405051) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 448846186 + ... + 448846358.

It is an arithmetic number, because the mean of its divisors is an integer number (291104320).

Almost surely, 2^77650405056 is an apocalyptic number.

77650405056 is a gapful number since it is divisible by the number (76) 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 77650405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146716577280).

77650405056 is an abundant number, since it is smaller than the sum of its proper divisors (215782749504).

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

77650405056 is a wasteful number, since it uses less digits than its factorization.

77650405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 77650405056 in words is "seventy-seven billion, six hundred fifty million, four hundred five thousand, fifty-six".