77206606519441 has 15 divisors (see below), whose sum is σ = 90069517216763. Its totient is φ = 66176722259760.

The previous prime is 77206606519421. The next prime is 77206606519459. The reversal of 77206606519441 is 14491560660277.

The square root of 77206606519441 is 8786729.

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

It can be written as a sum of positive squares in only one way, i.e., 47517185079441 + 29689421440000 = 6893271^2 + 5448800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-77206606519441 is a prime.

It is a super-3 number, since 3×77206606519441³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77206606519411) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 430460061 + ... + 430639381.

Almost surely, 2^{77206606519441} is an apocalyptic number.

77206606519441 is the 8786729-th square number.

77206606519441 is the 4393365-th centered octagonal number.

It is an amenable number.

77206606519441 is a deficient number, since it is larger than the sum of its proper divisors (12862910697322).

77206606519441 is an frugal number, since it uses more digits than its factorization.

77206606519441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358670 (or 179328 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 77206606519441 in words is "seventy-seven trillion, two hundred six billion, six hundred six million, five hundred nineteen thousand, four hundred forty-one".