76297988856384 has 567 divisors, whose sum is σ = 236164886209161. Its totient is φ = 23546419752960.

The previous prime is 76297988856307. The next prime is 76297988856403. The reversal of 76297988856384 is 48365888979267.

The square root of 76297988856384 is 8734872.

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

76297988856384 is a `hidden beast` number, since 7 + 6 + 2 + 9 + 79 + 88 + 85 + 6 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59401548417600 + 16896440438784 = 7707240^2 + 4110528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76297988856294 and 76297988856303.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 281542394169 + ... + 281542394439.

Almost surely, 2^{76297988856384} is an apocalyptic number.

76297988856384 is the 8734872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76297988856384

76297988856384 is an abundant number, since it is smaller than the sum of its proper divisors (159866897352777).

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

76297988856384 is an equidigital number, since it uses as much as digits as its factorization.

76297988856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 372 counting only the distinct ones).

The product of its digits is 70230343680, while the sum is 90.

The spelling of 76297988856384 in words is "seventy-six trillion, two hundred ninety-seven billion, nine hundred eighty-eight million, eight hundred fifty-six thousand, three hundred eighty-four".