782420 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 282240.

The previous prime is 782393. The next prime is 782429. The reversal of 782420 is 24287.

782420 = 88² + 89² + ... + 144².

782420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782420² = 1224362112800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 782420.

It is not an unprimeable number, because it can be changed into a prime (782429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10985 + ... + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁷⁸²⁴²⁰ 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 782420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

782420 is an abundant number, since it is smaller than the sum of its proper divisors (1031980).

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

782420 is a wasteful number, since it uses less digits than its factorization.

782420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 782420 is about 884.5450808184. The cubic root of 782420 is about 92.1467412466.

The spelling of 782420 in words is "seven hundred eighty-two thousand, four hundred twenty".