77827813377657 has 32 divisors (see below), whose sum is σ = 121019774976000. Its totient is φ = 44471305129104.

The previous prime is 77827813377649. The next prime is 77827813377779. The reversal of 77827813377657 is 75677331872877.

It is not a de Polignac number, because 77827813377657 - 2³ = 77827813377649 is a prime.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77827813377617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25211598 + ... + 28129704.

It is an arithmetic number, because the mean of its divisors is an integer number (3781867968000).

Almost surely, 2^{77827813377657} is an apocalyptic number.

It is an amenable number.

77827813377657 is a deficient number, since it is larger than the sum of its proper divisors (43191961598343).

77827813377657 is a wasteful number, since it uses less digits than its factorization.

77827813377657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944050 (or 2944036 counting only the distinct ones).

The product of its digits is 4065949440, while the sum is 78.

The spelling of 77827813377657 in words is "seventy-seven trillion, eight hundred twenty-seven billion, eight hundred thirteen million, three hundred seventy-seven thousand, six hundred fifty-seven".