782734752 has 120 divisors (see below), whose sum is σ = 2311781472. Its totient is φ = 259804800.

The previous prime is 782734727. The next prime is 782734763. The reversal of 782734752 is 257437287.

782734752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782734752² = 1225347383977003008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 782734698 and 782734707.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 805627 + ... + 806597.

Almost surely, 2^782734752 is an apocalyptic number.

782734752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782734752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155890736).

782734752 is an abundant number, since it is smaller than the sum of its proper divisors (1529046720).

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

782734752 is a wasteful number, since it uses less digits than its factorization.

782734752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1287 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 782734752 is about 27977.3971627098. The cubic root of 782734752 is about 921.5909585702.

The spelling of 782734752 in words is "seven hundred eighty-two million, seven hundred thirty-four thousand, seven hundred fifty-two".