782320 has 80 divisors (see below), whose sum is σ = 2285568. Its totient is φ = 241920.

The previous prime is 782311. The next prime is 782329. The reversal of 782320 is 23287.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (782311) and next prime (782329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×782320² = 1224049164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 782291 and 782300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782329) by changing a digit.

782320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6097 + ... + 6223.

2⁷⁸²³²⁰ is an apocalyptic number.

782320 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 782320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784).

782320 is an abundant number, since it is smaller than the sum of its proper divisors (1503248).

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

782320 is a wasteful number, since it uses less digits than its factorization.

782320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 782320 is about 884.4885527806. The cubic root of 782320 is about 92.1428153642.

The spelling of 782320 in words is "seven hundred eighty-two thousand, three hundred twenty".