77123997 has 12 divisors (see below), whose sum is σ = 111479004. Its totient is φ = 51380160.

The previous prime is 77123971. The next prime is 77124041. The reversal of 77123997 is 79932177.

It can be written as a sum of positive squares in 2 ways, for example, as 31236921 + 45887076 = 5589^2 + 6774^2 .

It is not a de Polignac number, because 77123997 - 2⁶ = 77123933 is a prime.

It is a super-2 number, since 2×77123997² = 11896221826512018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77121997) 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 11 ways as a sum of consecutive naturals, for example, 19747 + ... + 23327.

It is an arithmetic number, because the mean of its divisors is an integer number (9289917).

Almost surely, 2^77123997 is an apocalyptic number.

It is an amenable number.

77123997 is a deficient number, since it is larger than the sum of its proper divisors (34355007).

77123997 is a wasteful number, since it uses less digits than its factorization.

77123997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5977 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 77123997 is about 8782.0269300430. The cubic root of 77123997 is about 425.6603289841.

The spelling of 77123997 in words is "seventy-seven million, one hundred twenty-three thousand, nine hundred ninety-seven".