763361641 has 9 divisors (see below), whose sum is σ = 888217149. Its totient is φ = 654144204.

The previous prime is 763361623. The next prime is 763361663. The reversal of 763361641 is 146163367.

It is a happy number.

The square root of 763361641 is 27629.

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

It is not a de Polignac number, because 763361641 - 2⁹ = 763361129 is a prime.

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 763361641.

It is not an unprimeable number, because it can be changed into a prime (763361041) 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, 191430 + ... + 195376.

Almost surely, 2^763361641 is an apocalyptic number.

763361641 is the 27629-th square number.

763361641 is the 13815-th centered octagonal number.

It is an amenable number.

763361641 is a deficient number, since it is larger than the sum of its proper divisors (124855508).

763361641 is an frugal number, since it uses more digits than its factorization.

763361641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 3954 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The cubic root of 763361641 is about 913.9240604407.

It can be divided in two parts, 76336 and 1641, that added together give a palindrome (77977).

The spelling of 763361641 in words is "seven hundred sixty-three million, three hundred sixty-one thousand, six hundred forty-one".