782404040 has 128 divisors (see below), whose sum is σ = 2087424000. Its totient is φ = 260755200.

The previous prime is 782404031. The next prime is 782404057. The reversal of 782404040 is 40404287.

It is a super-2 number, since 2×782404040² = 1224312163616643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 782403994 and 782404012.

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, 257651 + ... + 260669.

It is an arithmetic number, because the mean of its divisors is an integer number (16308000).

Almost surely, 2^782404040 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 782404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043712000).

782404040 is an abundant number, since it is smaller than the sum of its proper divisors (1305019960).

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

782404040 is a wasteful number, since it uses less digits than its factorization.

782404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 782404040 is about 27971.4861957673. The cubic root of 782404040 is about 921.4611469822.

The spelling of 782404040 in words is "seven hundred eighty-two million, four hundred four thousand, forty".