375820 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 133056.

The previous prime is 375799. The next prime is 375833. The reversal of 375820 is 28573.

375820 = T₅₉ + T₆₀ + ... + T₁₃₄.

375820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8719 + ... + 8761.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³⁷⁵⁸²⁰ 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 375820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

375820 is an abundant number, since it is smaller than the sum of its proper divisors (511220).

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

375820 is a wasteful number, since it uses less digits than its factorization.

375820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 375820 is about 613.0415972836. The cubic root of 375820 is about 72.1650022343.

The spelling of 375820 in words is "three hundred seventy-five thousand, eight hundred twenty".