77546097841 has 9 divisors (see below), whose sum is σ = 77901653739. Its totient is φ = 77192161200.

The previous prime is 77546097809. The next prime is 77546097859. The reversal of 77546097841 is 14879064577.

It is a happy number.

The square root of 77546097841 is 278471.

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., 52404824241 + 25141273600 = 228921^2 + 158560^2 .

It is not a de Polignac number, because 77546097841 - 2⁵ = 77546097809 is a prime.

It is a super-2 number, since 2×77546097841² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77546091841) 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, 78249856 + ... + 78250846.

Almost surely, 2^77546097841 is an apocalyptic number.

77546097841 is the 278471-st square number.

77546097841 is the 139236-th centered octagonal number.

It is an amenable number.

77546097841 is a deficient number, since it is larger than the sum of its proper divisors (355555898).

77546097841 is an frugal number, since it uses more digits than its factorization.

77546097841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 77546097841 in words is "seventy-seven billion, five hundred forty-six million, ninety-seven thousand, eight hundred forty-one".