77046716105676 has 72 divisors (see below), whose sum is σ = 205393422037440. Its totient is φ = 25246946501712.

The previous prime is 77046716105633. The next prime is 77046716105687. The reversal of 77046716105676 is 67650161764077.

It is a happy number.

77046716105676 is a `hidden beast` number, since 7 + 7 + 0 + 4 + 6 + 7 + 1 + 61 + 0 + 567 + 6 = 666.

It is a super-3 number, since 3×77046716105676³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 671689846 + ... + 671804541.

Almost surely, 2^{77046716105676} is an apocalyptic number.

It is an amenable number.

77046716105676 is an abundant number, since it is smaller than the sum of its proper divisors (128346705931764).

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

77046716105676 is a wasteful number, since it uses less digits than its factorization.

77046716105676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343494465 (or 1343494451 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 77046716105676 in words is "seventy-seven trillion, forty-six billion, seven hundred sixteen million, one hundred five thousand, six hundred seventy-six".