380278080 has 336 divisors, whose sum is σ = 1610953344. Its totient is φ = 80179200.

The previous prime is 380278079. The next prime is 380278091. The reversal of 380278080 is 80872083.

380278080 is a `hidden beast` number, since 380 + 278 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×380278080² = 289222836256972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261355 + ... + 262805.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 2^380278080 is an apocalyptic number.

380278080 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 380278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805476672).

380278080 is an abundant number, since it is smaller than the sum of its proper divisors (1230675264).

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

380278080 is a wasteful number, since it uses less digits than its factorization.

380278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 380278080 is about 19500.7199867082. The cubic root of 380278080 is about 724.4922834517.

The spelling of 380278080 in words is "three hundred eighty million, two hundred seventy-eight thousand, eighty".