1779766778241 has 45 divisors (see below), whose sum is σ = 2674523462611. Its totient is φ = 1179475252848.

The previous prime is 1779766778171. The next prime is 1779766778261. The reversal of 1779766778241 is 1428776679771.

The square root of 1779766778241 is 1334079.

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

1779766778241 is a `hidden beast` number, since 177 + 97 + 6 + 67 + 78 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 414150167025 + 1365616611216 = 643545^2 + 1168596^2 .

It is not a de Polignac number, because 1779766778241 - 2⁷ = 1779766778113 is a prime.

It is a super-4 number, since 4×1779766778241⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1779766778241.

It is not an unprimeable number, because it can be changed into a prime (1779766778261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2725523071 + ... + 2725523723.

Almost surely, 2^{1779766778241} is an apocalyptic number.

1779766778241 is the 1334079-th square number.

1779766778241 is the 667040-th centered octagonal number.

It is an amenable number.

1779766778241 is a deficient number, since it is larger than the sum of its proper divisors (894756684370).

1779766778241 is an frugal number, since it uses more digits than its factorization.

1779766778241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 883 counting only the distinct ones).

The product of its digits is 348509952, while the sum is 72.

The spelling of 1779766778241 in words is "one trillion, seven hundred seventy-nine billion, seven hundred sixty-six million, seven hundred seventy-eight thousand, two hundred forty-one".