379776 has 64 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 118272.

The previous prime is 379751. The next prime is 379777. The reversal of 379776 is 677973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379777) by changing a digit.

379776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8811 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2³⁷⁹⁷⁷⁶ 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 379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560).

379776 is an abundant number, since it is smaller than the sum of its proper divisors (697344).

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

379776 is a wasteful number, since it uses less digits than its factorization.

379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its digits is 55566, while the sum is 39.

The square root of 379776 is about 616.2596855223. The cubic root of 379776 is about 72.4173294700.

The spelling of 379776 in words is "three hundred seventy-nine thousand, seven hundred seventy-six".