77640105 has 32 divisors (see below), whose sum is σ = 136080000. Its totient is φ = 37624832.

The previous prime is 77640083. The next prime is 77640113. The reversal of 77640105 is 50104677.

It is a happy number.

It is not a de Polignac number, because 77640105 - 2⁶ = 77640041 is a prime.

It is a super-2 number, since 2×77640105² = 12055971808822050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2146 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2^77640105 is an apocalyptic number.

It is an amenable number.

77640105 is a deficient number, since it is larger than the sum of its proper divisors (58439895).

77640105 is a wasteful number, since it uses less digits than its factorization.

77640105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 77640105 is about 8811.3622669823. The cubic root of 77640105 is about 426.6077144977.

The spelling of 77640105 in words is "seventy-seven million, six hundred forty thousand, one hundred five".