783960 has 64 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 203136.

The previous prime is 783953. The next prime is 784009. The reversal of 783960 is 69387.

It is a happy number.

It is a super-2 number, since 2×783960² = 1229186563200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

783960 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 15 ways as a sum of consecutive naturals, for example, 5571 + ... + 5709.

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

2⁷⁸³⁹⁶⁰ 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 783960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

783960 is an abundant number, since it is smaller than the sum of its proper divisors (1635240).

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

783960 is a wasteful number, since it uses less digits than its factorization.

783960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 783960 is about 885.4151568615. The cubic root of 783960 is about 92.2071576389.

The spelling of 783960 in words is "seven hundred eighty-three thousand, nine hundred sixty".