76157785089 has 27 divisors (see below), whose sum is σ = 114264411937. Its totient is φ = 50756954508.

The previous prime is 76157785061. The next prime is 76157785147. The reversal of 76157785089 is 98058775167.

The square root of 76157785089 is 275967.

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

76157785089 is a `hidden beast` number, since 7 + 6 + 1 + 57 + 78 + 508 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 76157785089 - 2³¹ = 74010301441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76157785049) 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, 22351624 + ... + 22355030.

Almost surely, 2^76157785089 is an apocalyptic number.

76157785089 is the 275967-th square number.

76157785089 is the 137984-th centered octagonal number.

It is an amenable number.

76157785089 is a deficient number, since it is larger than the sum of its proper divisors (38106626848).

76157785089 is an frugal number, since it uses more digits than its factorization.

76157785089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 76157785089 in words is "seventy-six billion, one hundred fifty-seven million, seven hundred eighty-five thousand, eighty-nine".