378878400 has 252 divisors, whose sum is σ = 1367146872. Its totient is φ = 99502080.

The previous prime is 378878399. The next prime is 378878443. The reversal of 378878400 is 4878873.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1195042 + ... + 1195358.

It is an arithmetic number, because the mean of its divisors is an integer number (5425186).

Almost surely, 2^378878400 is an apocalyptic number.

378878400 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 378878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683573436).

378878400 is an abundant number, since it is smaller than the sum of its proper divisors (988268472).

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

378878400 is a wasteful number, since it uses less digits than its factorization.

378878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 378878400 is about 19464.7989971641. The cubic root of 378878400 is about 723.6023171336.

The spelling of 378878400 in words is "three hundred seventy-eight million, eight hundred seventy-eight thousand, four hundred".