77164857 has 36 divisors (see below), whose sum is σ = 141453936. Its totient is φ = 40083120.

The previous prime is 77164849. The next prime is 77164883. The reversal of 77164857 is 75846177.

It is not a de Polignac number, because 77164857 - 2³ = 77164849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77164807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3103 + ... + 12804.

It is an arithmetic number, because the mean of its divisors is an integer number (3929276).

Almost surely, 2^77164857 is an apocalyptic number.

77164857 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77164857 is a deficient number, since it is larger than the sum of its proper divisors (64289079).

77164857 is a wasteful number, since it uses less digits than its factorization.

77164857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938 (or 15928 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 77164857 is about 8784.3529642200. The cubic root of 77164857 is about 425.7354867868.

The spelling of 77164857 in words is "seventy-seven million, one hundred sixty-four thousand, eight hundred fifty-seven".