76388115456 has 99 divisors (see below), whose sum is σ = 220645665331. Its totient is φ = 25453860864.

The previous prime is 76388115449. The next prime is 76388115473. The reversal of 76388115456 is 65451188367.

It is a happy number.

The square root of 76388115456 is 276384.

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

76388115456 is a `hidden beast` number, since 7 + 6 + 3 + 88 + 11 + 545 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26531425 + ... + 26534303.

Almost surely, 2^76388115456 is an apocalyptic number.

76388115456 is the 276384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76388115456

76388115456 is an abundant number, since it is smaller than the sum of its proper divisors (144257549875).

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

76388115456 is an frugal number, since it uses more digits than its factorization.

76388115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 2884 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

It can be divided in two parts, 76388 and 115456, that added together give a square (191844 = 438²).

The spelling of 76388115456 in words is "seventy-six billion, three hundred eighty-eight million, one hundred fifteen thousand, four hundred fifty-six".