377000 has 64 divisors (see below), whose sum is σ = 982800. Its totient is φ = 134400.

The previous prime is 376969. The next prime is 377011. The reversal of 377000 is 773.

377000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 376996 = 2^2 + 614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 377000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377000.

It is an unprimeable number.

377000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12986 + ... + 13014.

2³⁷⁷⁰⁰⁰ 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 377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

377000 is an abundant number, since it is smaller than the sum of its proper divisors (605800).

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

377000 is a wasteful number, since it uses less digits than its factorization.

377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 17.

The square root of 377000 is about 614.0032573204. The cubic root of 377000 is about 72.2404512390.

Adding to 377000 its reverse (773), we get a palindrome (377773).

The spelling of 377000 in words is "three hundred seventy-seven thousand", and thus it is an iban number.