378754800 has 120 divisors (see below), whose sum is σ = 1266121344. Its totient is φ = 96602880.

The previous prime is 378754799. The next prime is 378754853. The reversal of 378754800 is 8457873.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 20739 + ... + 34461.

Almost surely, 2^378754800 is an apocalyptic number.

378754800 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 378754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633060672).

378754800 is an abundant number, since it is smaller than the sum of its proper divisors (887366544).

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

378754800 is a wasteful number, since it uses less digits than its factorization.

378754800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 378754800 is about 19461.6237760368. The cubic root of 378754800 is about 723.5236226028.

The spelling of 378754800 in words is "three hundred seventy-eight million, seven hundred fifty-four thousand, eight hundred".