380026080 has 480 divisors, whose sum is σ = 1580705280. Its totient is φ = 84188160.

The previous prime is 380026069. The next prime is 380026091. The reversal of 380026080 is 80620083.

It is an interprime number because it is at equal distance from previous prime (380026069) and next prime (380026091).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5352445 + ... + 5352515.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^380026080 is an apocalyptic number.

380026080 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 380026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790352640).

380026080 is an abundant number, since it is smaller than the sum of its proper divisors (1200679200).

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

380026080 is a wasteful number, since it uses less digits than its factorization.

380026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380026080 is about 19494.2576160263. The cubic root of 380026080 is about 724.3322142739.

The spelling of 380026080 in words is "three hundred eighty million, twenty-six thousand, eighty".