76986271296 has 189 divisors, whose sum is σ = 242782602699. Its totient is φ = 23306976000.

The previous prime is 76986271291. The next prime is 76986271343. The reversal of 76986271296 is 69217268967.

The square root of 76986271296 is 277464.

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

76986271296 is a `hidden beast` number, since 76 + 9 + 8 + 6 + 271 + 296 = 666.

It is a super-2 number, since 2×76986271296² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76986271291) 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, 73249971 + ... + 73251021.

Almost surely, 2^76986271296 is an apocalyptic number.

76986271296 is the 277464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76986271296

76986271296 is an abundant number, since it is smaller than the sum of its proper divisors (165796331403).

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

76986271296 is a wasteful number, since it uses less digits than its factorization.

76986271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1067 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 76986271296 in words is "seventy-six billion, nine hundred eighty-six million, two hundred seventy-one thousand, two hundred ninety-six".