778063362241 has 81 divisors (see below), whose sum is σ = 936479114683. Its totient is φ = 645822960640.

The previous prime is 778063362239. The next prime is 778063362259. The reversal of 778063362241 is 142263360877.

The square root of 778063362241 is 882079.

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

It can be written as a sum of positive squares in 13 ways, for example, as 242971112241 + 535092250000 = 492921^2 + 731500^2 .

It is not a de Polignac number, because 778063362241 - 2¹ = 778063362239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (778063362211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8742284925 + ... + 8742285013.

Almost surely, 2^778063362241 is an apocalyptic number.

778063362241 is the 882079-th square number.

778063362241 is the 441040-th centered octagonal number.

It is an amenable number.

778063362241 is a deficient number, since it is larger than the sum of its proper divisors (158415752442).

778063362241 is an equidigital number, since it uses as much as digits as its factorization.

778063362241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 778063362241 by its sum of digits (49), we get a square (38125104749809 = 6174553²).

The spelling of 778063362241 in words is "seven hundred seventy-eight billion, sixty-three million, three hundred sixty-two thousand, two hundred forty-one".