375760 has 80 divisors (see below), whose sum is σ = 1107072. Its totient is φ = 115200.

The previous prime is 375757. The next prime is 375761. The reversal of 375760 is 67573.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 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, 6130 + ... + 6190.

2³⁷⁵⁷⁶⁰ 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 375760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553536).

375760 is an abundant number, since it is smaller than the sum of its proper divisors (731312).

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

375760 is a wasteful number, since it uses less digits than its factorization.

375760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 375760 is about 612.9926590099. The cubic root of 375760 is about 72.1611616275.

The spelling of 375760 in words is "three hundred seventy-five thousand, seven hundred sixty".