782016 has 28 divisors (see below), whose sum is σ = 2069592. Its totient is φ = 260608.

The previous prime is 782011. The next prime is 782053. The reversal of 782016 is 610287.

It is a super-2 number, since 2×782016² = 1223098048512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (782011) by changing a digit.

782016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1845 + ... + 2228.

It is an arithmetic number, because the mean of its divisors is an integer number (73914).

2⁷⁸²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

782016 is an abundant number, since it is smaller than the sum of its proper divisors (1287576).

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

782016 is a wasteful number, since it uses less digits than its factorization.

782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 782016 is about 884.3166853566. The cubic root of 782016 is about 92.1308786269.

The spelling of 782016 in words is "seven hundred eighty-two thousand, sixteen".