378782784 has 224 divisors, whose sum is σ = 1194816000. Its totient is φ = 117324288.

The previous prime is 378782783. The next prime is 378782827. The reversal of 378782784 is 487287873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 378782784.

It is not an unprimeable number, because it can be changed into a prime (378782783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724987 + ... + 2725125.

It is an arithmetic number, because the mean of its divisors is an integer number (5334000).

Almost surely, 2^378782784 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 378782784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597408000).

378782784 is an abundant number, since it is smaller than the sum of its proper divisors (816033216).

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

378782784 is a wasteful number, since it uses less digits than its factorization.

378782784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The square root of 378782784 is about 19462.3427161275. The cubic root of 378782784 is about 723.5414411549.

The spelling of 378782784 in words is "three hundred seventy-eight million, seven hundred eighty-two thousand, seven hundred eighty-four".