77506135 has 16 divisors (see below), whose sum is σ = 107240256. Its totient is φ = 52674048.

The previous prime is 77506133. The next prime is 77506153. The reversal of 77506135 is 53160577.

It is not a de Polignac number, because 77506135 - 2¹ = 77506133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77506135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77506133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5844 + ... + 13753.

It is an arithmetic number, because the mean of its divisors is an integer number (6702516).

Almost surely, 2^77506135 is an apocalyptic number.

77506135 is a deficient number, since it is larger than the sum of its proper divisors (29734121).

77506135 is a wasteful number, since it uses less digits than its factorization.

77506135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19722.

The product of its (nonzero) digits is 22050, while the sum is 34.

The square root of 77506135 is about 8803.7568685193. The cubic root of 77506135 is about 426.3621990310.

The spelling of 77506135 in words is "seventy-seven million, five hundred six thousand, one hundred thirty-five".