76100089 has 16 divisors (see below), whose sum is σ = 85695120. Its totient is φ = 67092480.

The previous prime is 76100053. The next prime is 76100099. The reversal of 76100089 is 98000167.

It can be written as a sum of positive squares in 8 ways, for example, as 5405625 + 70694464 = 2325^2 + 8408^2 .

It is not a de Polignac number, because 76100089 - 2¹¹ = 76098041 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 76100089.

It is not an unprimeable number, because it can be changed into a prime (76100039) by changing a digit.

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, 35529 + ... + 37609.

It is an arithmetic number, because the mean of its divisors is an integer number (5355945).

Almost surely, 2^76100089 is an apocalyptic number.

It is an amenable number.

76100089 is a deficient number, since it is larger than the sum of its proper divisors (9595031).

76100089 is a wasteful number, since it uses less digits than its factorization.

76100089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 76100089 is about 8723.5364961694. The cubic root of 76100089 is about 423.7682239387.

The spelling of 76100089 in words is "seventy-six million, one hundred thousand, eighty-nine".