783920 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 304640.

The previous prime is 783877. The next prime is 783931. The reversal of 783920 is 29387.

783920 = T₃₀₅ + T₃₀₆ + ... + T₃₂₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×783920² = 1229061132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

783920 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 7 ways as a sum of consecutive naturals, for example, 3161 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁷⁸³⁹²⁰ 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 783920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

783920 is an abundant number, since it is smaller than the sum of its proper divisors (1090960).

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

783920 is a wasteful number, since it uses less digits than its factorization.

783920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 783920 is about 885.3925682995. The cubic root of 783920 is about 92.2055893833.

The spelling of 783920 in words is "seven hundred eighty-three thousand, nine hundred twenty".