76766756048896 has 117 divisors (see below), whose sum is σ = 163096496677731. Its totient is φ = 36121046286336.

The previous prime is 76766756048893. The next prime is 76766756048911. The reversal of 76766756048896 is 69884065766767.

The square root of 76766756048896 is 8761664.

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 23441710288896 + 53325045760000 = 4841664^2 + 7302400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76766756048891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9532686406 + ... + 9532694458.

Almost surely, 2^{76766756048896} is an apocalyptic number.

76766756048896 is the 8761664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76766756048896

76766756048896 is an abundant number, since it is smaller than the sum of its proper divisors (86329740628835).

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

76766756048896 is an frugal number, since it uses more digits than its factorization.

76766756048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16164 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 30725775360, while the sum is 85.

The spelling of 76766756048896 in words is "seventy-six trillion, seven hundred sixty-six billion, seven hundred fifty-six million, forty-eight thousand, eight hundred ninety-six".