76707048161536 has 405 divisors, whose sum is σ = 172197290541633. Its totient is φ = 34102546882560.

The previous prime is 76707048161509. The next prime is 76707048161539. The reversal of 76707048161536 is 63516184070767.

The square root of 76707048161536 is 8758256.

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

It can be written as a sum of positive squares in 7 ways, for example, as 55070409851136 + 21636638310400 = 7420944^2 + 4651520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76707048161539) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 970975293145 + ... + 970975293223.

Almost surely, 2^{76707048161536} is an apocalyptic number.

76707048161536 is the 8758256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76707048161536

76707048161536 is an abundant number, since it is smaller than the sum of its proper divisors (95490242380097).

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

76707048161536 is an frugal number, since it uses more digits than its factorization.

76707048161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 61.

The spelling of 76707048161536 in words is "seventy-six trillion, seven hundred seven billion, forty-eight million, one hundred sixty-one thousand, five hundred thirty-six".