380278800 has 450 divisors, whose sum is σ = 1515606554. Its totient is φ = 91238400.

The previous prime is 380278783. The next prime is 380278807. The reversal of 380278800 is 8872083.

380278800 is a `hidden beast` number, since 380 + 278 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18974736 + 361304064 = 4356^2 + 19008^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×380278800² = 289223931458880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (380278807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3920352 + ... + 3920448.

Almost surely, 2^380278800 is an apocalyptic number.

380278800 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 380278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757803277).

380278800 is an abundant number, since it is smaller than the sum of its proper divisors (1135327754).

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

380278800 is a wasteful number, since it uses less digits than its factorization.

380278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

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

The square root of 380278800 is about 19500.7384475563. The cubic root of 380278800 is about 724.4927406909.

The spelling of 380278800 in words is "three hundred eighty million, two hundred seventy-eight thousand, eight hundred".