782720 has 32 divisors (see below), whose sum is σ = 1872720. Its totient is φ = 312832.

The previous prime is 782711. The next prime is 782723. The reversal of 782720 is 27287.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×782720² = 1225301196800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 782720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 1251.

2⁷⁸²⁷²⁰ 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 782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936360).

782720 is an abundant number, since it is smaller than the sum of its proper divisors (1090000).

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

782720 is a wasteful number, since it uses less digits than its factorization.

782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 782720 is about 884.7146432608. The cubic root of 782720 is about 92.1585168871.

The spelling of 782720 in words is "seven hundred eighty-two thousand, seven hundred twenty".