782005248 has 132 divisors (see below), whose sum is σ = 2302064388. Its totient is φ = 255590400.

The previous prime is 782005247. The next prime is 782005261. The reversal of 782005248 is 842500287.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 712249344 + 69755904 = 26688^2 + 8352^2 .

It is a super-2 number, since 2×782005248² = 1223064415799083008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782005247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487648 + ... + 489248.

Almost surely, 2^782005248 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 782005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151032194).

782005248 is an abundant number, since it is smaller than the sum of its proper divisors (1520059140).

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

782005248 is a wasteful number, since it uses less digits than its factorization.

782005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 782005248 is about 27964.3567421101. The cubic root of 782005248 is about 921.3045638674.

The spelling of 782005248 in words is "seven hundred eighty-two million, five thousand, two hundred forty-eight".