77937735061 has 16 divisors (see below), whose sum is σ = 78677913600. Its totient is φ = 77202246528.

The previous prime is 77937735037. The next prime is 77937735119. The reversal of 77937735061 is 16053773977.

It is a cyclic number.

It is not a de Polignac number, because 77937735061 - 2⁹ = 77937734549 is a prime.

It is a super-3 number, since 3×77937735061³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77937734993 and 77937735011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77917735061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44307100 + ... + 44308858.

It is an arithmetic number, because the mean of its divisors is an integer number (4917369600).

Almost surely, 2^77937735061 is an apocalyptic number.

It is an amenable number.

77937735061 is a deficient number, since it is larger than the sum of its proper divisors (740178539).

77937735061 is a wasteful number, since it uses less digits than its factorization.

77937735061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868.

The product of its (nonzero) digits is 5834430, while the sum is 55.

The spelling of 77937735061 in words is "seventy-seven billion, nine hundred thirty-seven million, seven hundred thirty-five thousand, sixty-one".