77589776579328 has 864 divisors, whose sum is σ = 258499786991040. Its totient is φ = 23101572833280.

The previous prime is 77589776579327. The next prime is 77589776579377. The reversal of 77589776579328 is 82397567798577.

77589776579328 is a `hidden beast` number, since 7 + 7 + 5 + 8 + 9 + 7 + 7 + 6 + 579 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (77589776579327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6994475350 + ... + 6994486442.

Almost surely, 2^{77589776579328} is an apocalyptic number.

77589776579328 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 77589776579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129249893495520).

77589776579328 is an abundant number, since it is smaller than the sum of its proper divisors (180910010411712).

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

77589776579328 is an equidigital number, since it uses as much as digits as its factorization.

77589776579328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11142 counting only the distinct ones).

The product of its digits is 78414739200, while the sum is 90.

The spelling of 77589776579328 in words is "seventy-seven trillion, five hundred eighty-nine billion, seven hundred seventy-six million, five hundred seventy-nine thousand, three hundred twenty-eight".