76394748816 has 135 divisors (see below), whose sum is σ = 221216149947. Its totient is φ = 24610299840.

The previous prime is 76394748797. The next prime is 76394748841. The reversal of 76394748816 is 61884749367.

76394748816 = 1³ + 2³ + ... + 743³.

The square root of 76394748816 is 276396.

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

76394748816 is a `hidden beast` number, since 7 + 63 + 94 + 7 + 488 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102818941 + ... + 102819683.

Almost surely, 2^76394748816 is an apocalyptic number.

76394748816 is the 276396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76394748816

76394748816 is an abundant number, since it is smaller than the sum of its proper divisors (144821401131).

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

76394748816 is an equidigital number, since it uses as much as digits as its factorization.

76394748816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 779 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 76394748816 in words is "seventy-six billion, three hundred ninety-four million, seven hundred forty-eight thousand, eight hundred sixteen".