782122368 has 64 divisors (see below), whose sum is σ = 2106846720. Its totient is φ = 257026560.

The previous prime is 782122331. The next prime is 782122379. The reversal of 782122368 is 863221287.

782122368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×782122368² = 1223430797051854848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12921 + ... + 41607.

It is an arithmetic number, because the mean of its divisors is an integer number (32919480).

Almost surely, 2^782122368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053423360).

782122368 is an abundant number, since it is smaller than the sum of its proper divisors (1324724352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

782122368 is a wasteful number, since it uses less digits than its factorization.

782122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28775 (or 28763 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 782122368 is about 27966.4507580065. The cubic root of 782122368 is about 921.3505558026.

The spelling of 782122368 in words is "seven hundred eighty-two million, one hundred twenty-two thousand, three hundred sixty-eight".