77123961 has 16 divisors (see below), whose sum is σ = 114702720. Its totient is φ = 51215760.

The previous prime is 77123933. The next prime is 77123971. The reversal of 77123961 is 16932177.

It is a happy number.

It is not a de Polignac number, because 77123961 - 2⁷ = 77123833 is a prime.

It is a Smith number, since the sum of its digits (36) 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 (77123971) 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 15 ways as a sum of consecutive naturals, for example, 1671 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (7168920).

Almost surely, 2^77123961 is an apocalyptic number.

It is an amenable number.

77123961 is a deficient number, since it is larger than the sum of its proper divisors (37578759).

77123961 is a wasteful number, since it uses less digits than its factorization.

77123961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11127 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 77123961 is about 8782.0248804020. The cubic root of 77123961 is about 425.6602627541.

The spelling of 77123961 in words is "seventy-seven million, one hundred twenty-three thousand, nine hundred sixty-one".