772641 has 9 divisors (see below), whose sum is σ = 1119859. Its totient is φ = 513336.

The previous prime is 772631. The next prime is 772649. The reversal of 772641 is 146277.

The square root of 772641 is 879.

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., 731025 + 41616 = 855^2 + 204^2 .

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

It is a de Polignac number, because none of the positive numbers 2^{k}-772641 is a prime.

It is a super-2 number, since 2×772641^{2} = 1193948229762, which contains 22 as substring.

It is a Duffinian number.

772641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (772649) 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, 2491 + ... + 2783.

2^{772641} is an apocalyptic number.

772641 is the 879-th square number.

772641 is the 440-th centered octagonal number.

It is an amenable number.

772641 is a deficient number, since it is larger than the sum of its proper divisors (347218).

772641 is an equidigital number, since it uses as much as digits as its factorization.

772641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The cubic root of 772641 is about 91.7612350033.

The spelling of 772641 in words is "seven hundred seventy-two thousand, six hundred forty-one".

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