379779264 has 84 divisors (see below), whose sum is σ = 1123736640. Its totient is φ = 122503680.

The previous prime is 379779263. The next prime is 379779293. The reversal of 379779264 is 462977973.

379779264 is a `hidden beast` number, since 379 + 7 + 7 + 9 + 264 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 379779264.

It is not an unprimeable number, because it can be changed into a prime (379779263) 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 11 ways as a sum of consecutive naturals, for example, 7222 + ... + 28490.

Almost surely, 2^379779264 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 379779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561868320).

379779264 is an abundant number, since it is smaller than the sum of its proper divisors (743957376).

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

379779264 is a wasteful number, since it uses less digits than its factorization.

379779264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318 (or 21305 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 379779264 is about 19487.9261082343. The cubic root of 379779264 is about 724.1753693391.

The spelling of 379779264 in words is "three hundred seventy-nine million, seven hundred seventy-nine thousand, two hundred sixty-four".