378900819 has 24 divisors (see below), whose sum is σ = 597979200. Its totient is φ = 229281840.

The previous prime is 378900791. The next prime is 378900833. The reversal of 378900819 is 918009873.

It is not a de Polignac number, because 378900819 - 2⁹ = 378900307 is a prime.

It is a super-2 number, since 2×378900819² = 287131661277741522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378900889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70572 + ... + 75750.

It is an arithmetic number, because the mean of its divisors is an integer number (24915800).

Almost surely, 2^378900819 is an apocalyptic number.

378900819 is a deficient number, since it is larger than the sum of its proper divisors (219078381).

378900819 is a wasteful number, since it uses less digits than its factorization.

378900819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 378900819 is about 19465.3748743763. The cubic root of 378900819 is about 723.6165891889.

The spelling of 378900819 in words is "three hundred seventy-eight million, nine hundred thousand, eight hundred nineteen".