376398800 has 120 divisors (see below), whose sum is σ = 932362200. Its totient is φ = 145981440.

The previous prime is 376398793. The next prime is 376398811. The reversal of 376398800 is 8893673.

It is a Cunningham number, because it is equal to 19401²-1.

It can be written as a sum of positive squares in 12 ways, for example, as 128777104 + 247621696 = 11348^2 + 15736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3453146 + ... + 3453254.

It is an arithmetic number, because the mean of its divisors is an integer number (7769685).

Almost surely, 2^376398800 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 376398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466181100).

376398800 is an abundant number, since it is smaller than the sum of its proper divisors (555963400).

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

376398800 is a wasteful number, since it uses less digits than its factorization.

376398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 376398800 is about 19400.9999742281. Note that the first 4 decimals coincide. The cubic root of 376398800 is about 722.0203031407.

The spelling of 376398800 in words is "three hundred seventy-six million, three hundred ninety-eight thousand, eight hundred".