378799200 has 576 divisors, whose sum is σ = 1574899200. Its totient is φ = 87091200.

The previous prime is 378799177. The next prime is 378799231. The reversal of 378799200 is 2997873.

378799200 is a `hidden beast` number, since 378 + 79 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5335165 + ... + 5335235.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^378799200 is an apocalyptic number.

378799200 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 378799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

378799200 is an abundant number, since it is smaller than the sum of its proper divisors (1196100000).

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

378799200 is a wasteful number, since it uses less digits than its factorization.

378799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 378799200 is about 19462.7644490704. The cubic root of 378799200 is about 723.5518934821.

The spelling of 378799200 in words is "three hundred seventy-eight million, seven hundred ninety-nine thousand, two hundred".