77506085 has 16 divisors (see below), whose sum is σ = 95230080. Its totient is φ = 60540480.

The previous prime is 77506061. The next prime is 77506127. The reversal of 77506085 is 58060577.

It is not a de Polignac number, because 77506085 - 2¹⁰ = 77505061 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37694 + ... + 39696.

It is an arithmetic number, because the mean of its divisors is an integer number (5951880).

Almost surely, 2^77506085 is an apocalyptic number.

It is an amenable number.

77506085 is a deficient number, since it is larger than the sum of its proper divisors (17723995).

77506085 is a wasteful number, since it uses less digits than its factorization.

77506085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188.

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 77506085 is about 8803.7540288220. The cubic root of 77506085 is about 426.3621073474.

The spelling of 77506085 in words is "seventy-seven million, five hundred six thousand, eighty-five".