77668137 has 12 divisors (see below), whose sum is σ = 112382400. Its totient is φ = 51688728.

The previous prime is 77668127. The next prime is 77668153. The reversal of 77668137 is 73186677.

It is a happy number.

It is not a de Polignac number, because 77668137 - 2⁷ = 77668009 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77668092 and 77668101.

It is not an unprimeable number, because it can be changed into a prime (77668117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1813 + ... + 12594.

It is an arithmetic number, because the mean of its divisors is an integer number (9365200).

Almost surely, 2^77668137 is an apocalyptic number.

It is an amenable number.

77668137 is a deficient number, since it is larger than the sum of its proper divisors (34714263).

77668137 is a wasteful number, since it uses less digits than its factorization.

77668137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012 (or 15009 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 77668137 is about 8812.9527968780. The cubic root of 77668137 is about 426.6590506317.

The spelling of 77668137 in words is "seventy-seven million, six hundred sixty-eight thousand, one hundred thirty-seven".