77922695960 has 256 divisors, whose sum is σ = 189684633600. Its totient is φ = 28765900800.

The previous prime is 77922695911. The next prime is 77922696077. The reversal of 77922695960 is 6959622977.

It is a happy number.

It is a super-3 number, since 3×77922695960³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77922695893 and 77922695902.

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 63 ways as a sum of consecutive naturals, for example, 395546582 + ... + 395546778.

It is an arithmetic number, because the mean of its divisors is an integer number (740955600).

Almost surely, 2^77922695960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77922695960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94842316800).

77922695960 is an abundant number, since it is smaller than the sum of its proper divisors (111761937640).

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

77922695960 is a wasteful number, since it uses less digits than its factorization.

77922695960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 62.

The spelling of 77922695960 in words is "seventy-seven billion, nine hundred twenty-two million, six hundred ninety-five thousand, nine hundred sixty".