771228441 has 9 divisors (see below), whose sum is σ = 1114116991. Its totient is φ = 514096752.

The previous prime is 771228427. The next prime is 771228461. The reversal of 771228441 is 144822177.

The square root of 771228441 is 27771.

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., 47403225 + 723825216 = 6885^2 + 26904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 771228441 - 2¹⁵ = 771195673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 771228396 and 771228405.

It is not an unprimeable number, because it can be changed into a prime (771228401) 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, 78685 + ... + 87941.

Almost surely, 2^771228441 is an apocalyptic number.

771228441 is the 27771-st square number.

771228441 is the 13886-th centered octagonal number.

It is an amenable number.

771228441 is a deficient number, since it is larger than the sum of its proper divisors (342888550).

771228441 is an frugal number, since it uses more digits than its factorization.

771228441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18520 (or 9260 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The cubic root of 771228441 is about 917.0528093196.

Multiplying 771228441 by its sum of digits (36), we get a square (27764223876 = 166626²).

The spelling of 771228441 in words is "seven hundred seventy-one million, two hundred twenty-eight thousand, four hundred forty-one".