377856 has 66 divisors (see below), whose sum is σ = 1117662. Its totient is φ = 122880.

The previous prime is 377851. The next prime is 377873. The reversal of 377856 is 658773.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 147456 = 480^2 + 384^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 377856.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377856.

It is not an unprimeable number, because it can be changed into a prime (377851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9196 + ... + 9236.

2³⁷⁷⁸⁵⁶ is an apocalyptic number.

377856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558831).

377856 is an abundant number, since it is smaller than the sum of its proper divisors (739806).

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

377856 is a wasteful number, since it uses less digits than its factorization.

377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

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

The square root of 377856 is about 614.6999267936. The cubic root of 377856 is about 72.2950852648.

The spelling of 377856 in words is "three hundred seventy-seven thousand, eight hundred fifty-six".