77756606928 has 960 divisors, whose sum is σ = 305740431360. Its totient is φ = 17799782400.

The previous prime is 77756606911. The next prime is 77756606947. The reversal of 77756606928 is 82960665777.

77756606928 is a `hidden beast` number, since 7 + 7 + 7 + 566 + 0 + 69 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 348684225 + ... + 348684447.

It is an arithmetic number, because the mean of its divisors is an integer number (318479616).

Almost surely, 2^77756606928 is an apocalyptic number.

77756606928 is a gapful number since it is divisible by the number (78) 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 77756606928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152870215680).

77756606928 is an abundant number, since it is smaller than the sum of its proper divisors (227983824432).

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

77756606928 is a wasteful number, since it uses less digits than its factorization.

77756606928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 77756606928 in words is "seventy-seven billion, seven hundred fifty-six million, six hundred six thousand, nine hundred twenty-eight".