77055412679712 has 72 divisors (see below), whose sum is σ = 220066786350684. Its totient is φ = 25574900895744.

The previous prime is 77055412679711. The next prime is 77055412679759. The reversal of 77055412679712 is 21797621455077.

77055412679712 is a `hidden beast` number, since 7 + 7 + 0 + 5 + 541 + 2 + 6 + 79 + 7 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71499944823696 + 5555467856016 = 8455764^2 + 2357004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×77055412679712³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77055412679712.

It is not an unprimeable number, because it can be changed into a prime (77055412679711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574082073 + ... + 574216280.

Almost surely, 2^{77055412679712} is an apocalyptic number.

77055412679712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77055412679712 is an abundant number, since it is smaller than the sum of its proper divisors (143011373670972).

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

77055412679712 is a wasteful number, since it uses less digits than its factorization.

77055412679712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148298602 (or 1148298591 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 77055412679712 in words is "seventy-seven trillion, fifty-five billion, four hundred twelve million, six hundred seventy-nine thousand, seven hundred twelve".