379785000 has 160 divisors (see below), whose sum is σ = 1356315840. Its totient is φ = 86784000.

The previous prime is 379784989. The next prime is 379785001. The reversal of 379785000 is 587973.

It is a self number, because there is not a number n which added to its sum of digits gives 379785000.

It is not an unprimeable number, because it can be changed into a prime (379785001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 103192 + ... + 106808.

It is an arithmetic number, because the mean of its divisors is an integer number (8476974).

Almost surely, 2^379785000 is an apocalyptic number.

379785000 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 379785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678157920).

379785000 is an abundant number, since it is smaller than the sum of its proper divisors (976530840).

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

379785000 is a wasteful number, since it uses less digits than its factorization.

379785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 379785000 is about 19488.0732757243. The cubic root of 379785000 is about 724.1790151841.

The spelling of 379785000 in words is "three hundred seventy-nine million, seven hundred eighty-five thousand".