782040 has 128 divisors (see below), whose sum is σ = 2880000. Its totient is φ = 169344.

The previous prime is 782011. The next prime is 782053. The reversal of 782040 is 40287.

It is a happy number.

It is a super-2 number, since 2×782040² = 1223173123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 781998 and 782016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 782040.

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 31 ways as a sum of consecutive naturals, for example, 41151 + ... + 41169.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

2⁷⁸²⁰⁴⁰ is an apocalyptic number.

782040 is a gapful number since it is divisible by the number (70) 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 782040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440000).

782040 is an abundant number, since it is smaller than the sum of its proper divisors (2097960).

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

782040 is a wasteful number, since it uses less digits than its factorization.

782040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 782040 is about 884.3302550518. The cubic root of 782040 is about 92.1318211134.

The spelling of 782040 in words is "seven hundred eighty-two thousand, forty".