772093441 has 12 divisors (see below), whose sum is σ = 898950420. Its totient is φ = 661204320.

The previous prime is 772093397. The next prime is 772093507. The reversal of 772093441 is 144390277.

It can be written as a sum of positive squares in 2 ways, for example, as 433680625 + 338412816 = 20825^2 + 18396^2 .

It is not a de Polignac number, because 772093441 - 2⁹ = 772092929 is a prime.

It is a super-2 number, since 2×772093441² = 1192256563270440962, which contains 22 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 772093441.

It is not an unprimeable number, because it can be changed into a prime (772093741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53811 + ... + 66631.

It is an arithmetic number, because the mean of its divisors is an integer number (74912535).

Almost surely, 2^772093441 is an apocalyptic number.

It is an amenable number.

772093441 is a deficient number, since it is larger than the sum of its proper divisors (126856979).

772093441 is a wasteful number, since it uses less digits than its factorization.

772093441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064 (or 14057 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 772093441 is about 27786.5694356104. The cubic root of 772093441 is about 917.3955328050.

The spelling of 772093441 in words is "seven hundred seventy-two million, ninety-three thousand, four hundred forty-one".