77597201349 has 18 divisors (see below), whose sum is σ = 117169988390. Its totient is φ = 49482270288.

The previous prime is 77597201329. The next prime is 77597201387. The reversal of 77597201349 is 94310279577.

77597201349 is a `hidden beast` number, since 7 + 7 + 5 + 97 + 201 + 349 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53430322500 + 24166878849 = 231150^2 + 155457^2 .

It is not a de Polignac number, because 77597201349 - 2⁵ = 77597201317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77597201295 and 77597201304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77597201329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8144494 + ... + 8154015.

Almost surely, 2^77597201349 is an apocalyptic number.

It is an amenable number.

77597201349 is a deficient number, since it is larger than the sum of its proper divisors (39572787041).

77597201349 is a wasteful number, since it uses less digits than its factorization.

77597201349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16298561 (or 16298535 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 77597201349 in words is "seventy-seven billion, five hundred ninety-seven million, two hundred one thousand, three hundred forty-nine".