782034 has 48 divisors (see below), whose sum is σ = 1856736. Its totient is φ = 217600.

The previous prime is 782011. The next prime is 782053. The reversal of 782034 is 430287.

It is a super-2 number, since 2×782034² = 1223154354312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 781995 and 782013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19054 + ... + 19094.

It is an arithmetic number, because the mean of its divisors is an integer number (38682).

2⁷⁸²⁰³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928368).

782034 is an abundant number, since it is smaller than the sum of its proper divisors (1074702).

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

782034 is a wasteful number, since it uses less digits than its factorization.

782034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 782034 is about 884.3268626475. The cubic root of 782034 is about 92.1315854936.

It can be divided in two parts, 78 and 2034, that added together give a palindrome (2112).

The spelling of 782034 in words is "seven hundred eighty-two thousand, thirty-four".