383760 has 120 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 92160.

The previous prime is 383759. The next prime is 383767. The reversal of 383760 is 67383.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 374544 = 96^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 383760.

It is not an unprimeable number, because it can be changed into a prime (383767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9340 + ... + 9380.

2³⁸³⁷⁶⁰ is an apocalyptic number.

383760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

383760 is an abundant number, since it is smaller than the sum of its proper divisors (1038024).

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

383760 is a wasteful number, since it uses less digits than its factorization.

383760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 383760 is about 619.4836559587. The cubic root of 383760 is about 72.6696778859.

The spelling of 383760 in words is "three hundred eighty-three thousand, seven hundred sixty".