380005080 has 512 divisors, whose sum is σ = 1567641600. Its totient is φ = 71368704.

The previous prime is 380005079. The next prime is 380005139. The reversal of 380005080 is 80500083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 380005080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4269676 + ... + 4269764.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^380005080 is an apocalyptic number.

380005080 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 380005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

380005080 is an abundant number, since it is smaller than the sum of its proper divisors (1187636520).

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

380005080 is a wasteful number, since it uses less digits than its factorization.

380005080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 380005080 is about 19493.7189884332. The cubic root of 380005080 is about 724.3188719820.

The spelling of 380005080 in words is "three hundred eighty million, five thousand, eighty".