76853065161744 has 225 divisors, whose sum is σ = 225021195195069. Its totient is φ = 24486132274560.

The previous prime is 76853065161727. The next prime is 76853065161787. The reversal of 76853065161744 is 44716156035867.

The square root of 76853065161744 is 8766588.

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

76853065161744 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 3 + 0 + 6 + 5 + 1 + 617 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34927958160144 + 41925107001600 = 5909988^2 + 6474960^2 .

It is a super-2 number, since 2×76853065161744² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55650299934 + ... + 55650301314.

Almost surely, 2^{76853065161744} is an apocalyptic number.

76853065161744 is the 8766588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76853065161744

76853065161744 is an abundant number, since it is smaller than the sum of its proper divisors (148168130033325).

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

76853065161744 is an frugal number, since it uses more digits than its factorization.

76853065161744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 76853065161744 in words is "seventy-six trillion, eight hundred fifty-three billion, sixty-five million, one hundred sixty-one thousand, seven hundred forty-four".