782640 has 60 divisors (see below), whose sum is σ = 2630784. Its totient is φ = 208512.

The previous prime is 782611. The next prime is 782641. The reversal of 782640 is 46287.

782640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×782640² = 1225050739200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 782640.

It is not an unprimeable number, because it can be changed into a prime (782641) by changing a digit.

782640 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 11 ways as a sum of consecutive naturals, for example, 177 + ... + 1263.

2⁷⁸²⁶⁴⁰ 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 782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315392).

782640 is an abundant number, since it is smaller than the sum of its proper divisors (1848144).

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

782640 is a wasteful number, since it uses less digits than its factorization.

782640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 782640 is about 884.6694297872. The cubic root of 782640 is about 92.1553770106.

The spelling of 782640 in words is "seven hundred eighty-two thousand, six hundred forty".