375768 has 48 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 117504.

The previous prime is 375761. The next prime is 375773. The reversal of 375768 is 867573.

It is a Cunningham number, because it is equal to 613²-1.

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

Its product of digits (35280) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375761) 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, 1071 + ... + 1377.

2³⁷⁵⁷⁶⁸ 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 375768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

375768 is an abundant number, since it is smaller than the sum of its proper divisors (705312).

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

375768 is a wasteful number, since it uses less digits than its factorization.

375768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 375768 is about 612.9991843388. Note that the first 3 decimals coincide. The cubic root of 375768 is about 72.1616737320.

The spelling of 375768 in words is "three hundred seventy-five thousand, seven hundred sixty-eight".