76661074208161 has 9 divisors (see below), whose sum is σ = 77066223649779. Its totient is φ = 76258043757600.

The previous prime is 76661074208093. The next prime is 76661074208179. The reversal of 76661074208161 is 16180247016667.

It is a happy number.

The square root of 76661074208161 is 8755631.

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

It can be written as a sum of positive squares in only one way, i.e., 51003607505761 + 25657466702400 = 7141681^2 + 5065320^2 .

It is not a de Polignac number, because 76661074208161 - 2¹⁵ = 76661074175393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76661074208861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1672302601 + ... + 1672348441.

Almost surely, 2^{76661074208161} is an apocalyptic number.

76661074208161 is the 8755631-st square number.

76661074208161 is the 4377816-th centered octagonal number.

It is an amenable number.

76661074208161 is a deficient number, since it is larger than the sum of its proper divisors (405149441618).

76661074208161 is an frugal number, since it uses more digits than its factorization.

76661074208161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92064 (or 46032 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 76661074208161 in words is "seventy-six trillion, six hundred sixty-one billion, seventy-four million, two hundred eight thousand, one hundred sixty-one".