76036408009 has 27 divisors (see below), whose sum is σ = 84022893549. Its totient is φ = 68793361560.

The previous prime is 76036407913. The next prime is 76036408069. The reversal of 76036408009 is 90080463067.

It is a happy number.

The square root of 76036408009 is 275747.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 76036408009 - 2¹⁵ = 76036375241 is a prime.

It is a super-2 number, since 2×76036408009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76036408069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120501124 + ... + 120501754.

Almost surely, 2^76036408009 is an apocalyptic number.

76036408009 is the 275747-th square number.

76036408009 is the 137874-th centered octagonal number.

It is an amenable number.

76036408009 is a deficient number, since it is larger than the sum of its proper divisors (7986485540).

76036408009 is an frugal number, since it uses more digits than its factorization.

76036408009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 76036408009 in words is "seventy-six billion, thirty-six million, four hundred eight thousand, nine".