77509081 has 8 divisors (see below), whose sum is σ = 83832840. Its totient is φ = 71236992.

The previous prime is 77509049. The next prime is 77509097. The reversal of 77509081 is 18090577.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 71825625 = 2384^2 + 8475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77509081 - 2⁵ = 77509049 is a prime.

It is a super-2 number, since 2×77509081² = 12015315274929122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77509081.

It is not an unprimeable number, because it can be changed into a prime (77509381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9766 + ... + 15823.

It is an arithmetic number, because the mean of its divisors is an integer number (10479105).

Almost surely, 2^77509081 is an apocalyptic number.

It is an amenable number.

77509081 is a deficient number, since it is larger than the sum of its proper divisors (6323759).

77509081 is a wasteful number, since it uses less digits than its factorization.

77509081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25835.

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 77509081 is about 8803.9241818634. The cubic root of 77509081 is about 426.3676009566.

The spelling of 77509081 in words is "seventy-seven million, five hundred nine thousand, eighty-one".