379890 has 80 divisors (see below), whose sum is σ = 1184832. Its totient is φ = 85536.

The previous prime is 379889. The next prime is 379903. The reversal of 379890 is 98973.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379890.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5637 + ... + 5703.

2³⁷⁹⁸⁹⁰ is an apocalyptic number.

379890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592416).

379890 is an abundant number, since it is smaller than the sum of its proper divisors (804942).

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

379890 is a wasteful number, since it uses less digits than its factorization.

379890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 379890 is about 616.3521720575. The cubic root of 379890 is about 72.4245747493.

The spelling of 379890 in words is "three hundred seventy-nine thousand, eight hundred ninety".