376800 has 72 divisors (see below), whose sum is σ = 1234296. Its totient is φ = 99840.

The previous prime is 376793. The next prime is 376801. The reversal of 376800 is 8673.

376800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 376800.

It is not an unprimeable number, because it can be changed into a prime (376801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2322 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (17143).

2³⁷⁶⁸⁰⁰ is an apocalyptic number.

376800 is a gapful number since it is divisible by the number (30) 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 376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617148).

376800 is an abundant number, since it is smaller than the sum of its proper divisors (857496).

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

376800 is a wasteful number, since it uses less digits than its factorization.

376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 376800 is about 613.8403701289. The cubic root of 376800 is about 72.2276743638.

It can be divided in two parts, 376 and 800, that added together give a triangular number (1176 = T₄₈).

The spelling of 376800 in words is "three hundred seventy-six thousand, eight hundred".