782813312 has 24 divisors (see below), whose sum is σ = 1560141765. Its totient is φ = 391248384.

The previous prime is 782813299. The next prime is 782813347. The reversal of 782813312 is 213318287.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 732460096 + 50353216 = 27064^2 + 7096^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=19784.

It is a super-2 number, since 2×782813312² = 1225593362888818688, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 315308 + ... + 317780.

Almost surely, 2^782813312 is an apocalyptic number.

It is an amenable number.

782813312 is a deficient number, since it is larger than the sum of its proper divisors (777328453).

782813312 is an frugal number, since it uses more digits than its factorization.

782813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 2475 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 782813312 is about 27978.8011179893. The cubic root of 782813312 is about 921.6217896886.

The spelling of 782813312 in words is "seven hundred eighty-two million, eight hundred thirteen thousand, three hundred twelve".