77640101 has 16 divisors (see below), whose sum is σ = 99163008. Its totient is φ = 59020800.

The previous prime is 77640083. The next prime is 77640113. The reversal of 77640101 is 10104677.

It is a cyclic number.

It is not a de Polignac number, because 77640101 - 2²⁶ = 10531237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77640161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9140 + ... + 15453.

It is an arithmetic number, because the mean of its divisors is an integer number (6197688).

Almost surely, 2^77640101 is an apocalyptic number.

It is an amenable number.

77640101 is a deficient number, since it is larger than the sum of its proper divisors (21522907).

77640101 is a wasteful number, since it uses less digits than its factorization.

77640101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24652.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 77640101 is about 8811.3620400027. The cubic root of 77640101 is about 426.6077071714.

Adding to 77640101 its reverse (10104677), we get a palindrome (87744778).

The spelling of 77640101 in words is "seventy-seven million, six hundred forty thousand, one hundred one".