395776 has 20 divisors (see below), whose sum is σ = 791802. Its totient is φ = 197632.

The previous prime is 395767. The next prime is 395803. The reversal of 395776 is 677593.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 6400 = 624^2 + 80^2 .

It is an unprimeable number.

395776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126 + ... + 898.

2³⁹⁵⁷⁷⁶ 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 395776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395901).

395776 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

395776 is an frugal number, since it uses more digits than its factorization.

395776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its digits is 39690, while the sum is 37.

The square root of 395776 is about 629.1073040428. The cubic root of 395776 is about 73.4203558290.

The spelling of 395776 in words is "three hundred ninety-five thousand, seven hundred seventy-six".