77290116121 has 9 divisors (see below), whose sum is σ = 77787867871. Its totient is φ = 76795534552.

The previous prime is 77290116091. The next prime is 77290116149. The reversal of 77290116121 is 12161109277.

The square root of 77290116121 is 278011.

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., 70307174025 + 6982942096 = 265155^2 + 83564^2 .

It is not a de Polignac number, because 77290116121 - 2¹⁹ = 77289591833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77290116181) 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, 48095100 + ... + 48096706.

Almost surely, 2^77290116121 is an apocalyptic number.

77290116121 is the 278011-st square number.

77290116121 is the 139006-th centered octagonal number.

It is an amenable number.

77290116121 is a deficient number, since it is larger than the sum of its proper divisors (497751750).

77290116121 is an frugal number, since it uses more digits than its factorization.

77290116121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 77290116121 in words is "seventy-seven billion, two hundred ninety million, one hundred sixteen thousand, one hundred twenty-one".