76806241182889 has 9 divisors (see below), whose sum is σ = 79364065843101. Its totient is φ = 74328357582060.

The previous prime is 76806241182851. The next prime is 76806241182907. The reversal of 76806241182889 is 98828114260867.

The square root of 76806241182889 is 8763917.

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

It is not a de Polignac number, because 76806241182889 - 2¹⁹ = 76806240658601 is a prime.

It is a super-2 number, since 2×76806241182889² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76806241182809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 271540074 + ... + 271822780.

Almost surely, 2^{76806241182889} is an apocalyptic number.

76806241182889 is the 8763917-th square number.

76806241182889 is the 4381959-th centered octagonal number.

It is an amenable number.

76806241182889 is a deficient number, since it is larger than the sum of its proper divisors (2557824660212).

76806241182889 is an frugal number, since it uses more digits than its factorization.

76806241182889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565476 (or 282738 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 70.

The spelling of 76806241182889 in words is "seventy-six trillion, eight hundred six billion, two hundred forty-one million, one hundred eighty-two thousand, eight hundred eighty-nine".