782680 has 32 divisors (see below), whose sum is σ = 1866240. Its totient is φ = 294400.

The previous prime is 782671. The next prime is 782687. The reversal of 782680 is 86287.

It is a super-2 number, since 2×782680² = 1225175964800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782687) by changing a digit.

782680 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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

2⁷⁸²⁶⁸⁰ 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 782680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933120).

782680 is an abundant number, since it is smaller than the sum of its proper divisors (1083560).

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

782680 is a wasteful number, since it uses less digits than its factorization.

782680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 782680 is about 884.6920368128. The cubic root of 782680 is about 92.1569469756.

The spelling of 782680 in words is "seven hundred eighty-two thousand, six hundred eighty".