77527777536 has 864 divisors, whose sum is σ = 273202675200. Its totient is φ = 21678243840.

The previous prime is 77527777513. The next prime is 77527777577. The reversal of 77527777536 is 63577772577.

77527777536 is a `hidden beast` number, since 7 + 7 + 5 + 27 + 7 + 77 + 536 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871098580 + ... + 871098668.

It is an arithmetic number, because the mean of its divisors is an integer number (316206800).

Almost surely, 2^77527777536 is an apocalyptic number.

77527777536 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 77527777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136601337600).

77527777536 is an abundant number, since it is smaller than the sum of its proper divisors (195674897664).

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

77527777536 is a wasteful number, since it uses less digits than its factorization.

77527777536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its digits is 105884100, while the sum is 63.

The spelling of 77527777536 in words is "seventy-seven billion, five hundred twenty-seven million, seven hundred seventy-seven thousand, five hundred thirty-six".