76988884497561 has 9 divisors (see below), whose sum is σ = 111206204518591. Its totient is φ = 51325905449712.

The previous prime is 76988884497533. The next prime is 76988884497563. The reversal of 76988884497561 is 16579448888967.

The square root of 76988884497561 is 8774331.

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

76988884497561 is a `hidden beast` number, since 7 + 6 + 9 + 88 + 88 + 449 + 7 + 5 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76558212560025 + 430671937536 = 8749755^2 + 656256^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76988884497561 - 2¹³ = 76988884489369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76988884497563) 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, 24860605 + ... + 27785381.

Almost surely, 2^{76988884497561} is an apocalyptic number.

76988884497561 is the 8774331-st square number.

76988884497561 is the 4387166-th centered octagonal number.

It is an amenable number.

76988884497561 is a deficient number, since it is larger than the sum of its proper divisors (34217320021030).

76988884497561 is an frugal number, since it uses more digits than its factorization.

76988884497561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849560 (or 2924780 counting only the distinct ones).

The product of its digits is 46820229120, while the sum is 90.

The spelling of 76988884497561 in words is "seventy-six trillion, nine hundred eighty-eight billion, eight hundred eighty-four million, four hundred ninety-seven thousand, five hundred sixty-one".