782438472 has 96 divisors (see below), whose sum is σ = 2234494080. Its totient is φ = 246850560.

The previous prime is 782438467. The next prime is 782438477. The reversal of 782438472 is 274834287.

It is an interprime number because it is at equal distance from previous prime (782438467) and next prime (782438477).

It is a super-2 number, since 2×782438472² = 1224419924931389568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782438477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 158197 + ... + 163067.

It is an arithmetic number, because the mean of its divisors is an integer number (23275980).

Almost surely, 2^782438472 is an apocalyptic number.

782438472 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 782438472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117247040).

782438472 is an abundant number, since it is smaller than the sum of its proper divisors (1452055608).

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

782438472 is a wasteful number, since it uses less digits than its factorization.

782438472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4996 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 782438472 is about 27972.1016729169. The cubic root of 782438472 is about 921.4746639901.

The spelling of 782438472 in words is "seven hundred eighty-two million, four hundred thirty-eight thousand, four hundred seventy-two".