76105360384 has 99 divisors (see below), whose sum is σ = 157033273467. Its totient is φ = 36865327104.

The previous prime is 76105360363. The next prime is 76105360393. The reversal of 76105360384 is 48306350167.

The square root of 76105360384 is 275872.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1423401984 + 74681958400 = 37728^2 + 273280^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76105360384.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 326632332 + ... + 326632564.

Almost surely, 2^76105360384 is an apocalyptic number.

76105360384 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

76105360384 is the 275872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76105360384

76105360384 is an abundant number, since it is smaller than the sum of its proper divisors (80927913083).

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

76105360384 is an frugal number, since it uses more digits than its factorization.

76105360384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 76105360384 in words is "seventy-six billion, one hundred five million, three hundred sixty thousand, three hundred eighty-four".