76989884774544 has 225 divisors, whose sum is σ = 259219089600867. Its totient is φ = 21996478179648.

The previous prime is 76989884774527. The next prime is 76989884774567. The reversal of 76989884774544 is 44547748898967.

The square root of 76989884774544 is 8774388.

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

76989884774544 is a `hidden beast` number, since 7 + 6 + 9 + 8 + 9 + 8 + 84 + 77 + 454 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2211128367 + ... + 2211163185.

Almost surely, 2^{76989884774544} is an apocalyptic number.

76989884774544 is the 8774388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76989884774544

76989884774544 is an abundant number, since it is smaller than the sum of its proper divisors (182229204826323).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76989884774544 is an frugal number, since it uses more digits than its factorization.

76989884774544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69672 (or 34831 counting only the distinct ones).

The product of its digits is 109247201280, while the sum is 90.

The spelling of 76989884774544 in words is "seventy-six trillion, nine hundred eighty-nine billion, eight hundred eighty-four million, seven hundred seventy-four thousand, five hundred forty-four".