776338972201 has 9 divisors (see below), whose sum is σ = 840663479781. Its totient is φ = 716610016512.

The previous prime is 776338972187. The next prime is 776338972291. The reversal of 776338972201 is 102279833677.

The square root of 776338972201 is 881101.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29946648601 + 746392323600 = 173051^2 + 863940^2 .

It is not a de Polignac number, because 776338972201 - 2¹⁷ = 776338841129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (776338972291) 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, 11420425 + ... + 11488201.

It is an arithmetic number, because the mean of its divisors is an integer number (93407053309).

Almost surely, 2^776338972201 is an apocalyptic number.

776338972201 is the 881101-st square number.

776338972201 is the 440551-st centered octagonal number.

It is an amenable number.

776338972201 is a deficient number, since it is larger than the sum of its proper divisors (64324507580).

776338972201 is an frugal number, since it uses more digits than its factorization.

776338972201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135580 (or 67790 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 55.

The spelling of 776338972201 in words is "seven hundred seventy-six billion, three hundred thirty-eight million, nine hundred seventy-two thousand, two hundred one".