783048 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 217152.

The previous prime is 783043. The next prime is 783077. The reversal of 783048 is 840387.

It is a super-2 number, since 2×783048² = 1226328340608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783043) by changing a digit.

783048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9873 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁷⁸³⁰⁴⁸ 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 783048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

783048 is an abundant number, since it is smaller than the sum of its proper divisors (1520952).

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

783048 is a wasteful number, since it uses less digits than its factorization.

783048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 783048 is about 884.8999943496. The cubic root of 783048 is about 92.1713881447.

The spelling of 783048 in words is "seven hundred eighty-three thousand, forty-eight".