782264961 has 9 divisors (see below), whose sum is σ = 1130059489. Its totient is φ = 521454036.

The previous prime is 782264933. The next prime is 782264993. The reversal of 782264961 is 169462287.

It is a happy number.

The square root of 782264961 is 27969.

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

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

It is not a de Polignac number, because 782264961 - 2⁵ = 782264929 is a prime.

It is a super-2 number, since 2×782264961² = 1223876938416663042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (782262961) 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, 79246 + ... + 88568.

Almost surely, 2^782264961 is an apocalyptic number.

782264961 is the 27969-th square number.

782264961 is the 13985-th centered octagonal number.

It is an amenable number.

782264961 is a deficient number, since it is larger than the sum of its proper divisors (347794528).

782264961 is an frugal number, since it uses more digits than its factorization.

782264961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652 (or 9326 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 782264961 is about 921.4065445506.

It can be divided in two parts, 782264 and 961, that added together give a square (783225 = 885²).

The spelling of 782264961 in words is "seven hundred eighty-two million, two hundred sixty-four thousand, nine hundred sixty-one".