380260800 has 126 divisors (see below), whose sum is σ = 1351587848. Its totient is φ = 101399040.

The previous prime is 380260799. The next prime is 380260807. The reversal of 380260800 is 8062083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380260807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1197 + ... + 27603.

Almost surely, 2^380260800 is an apocalyptic number.

380260800 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 380260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675793924).

380260800 is an abundant number, since it is smaller than the sum of its proper divisors (971327048).

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

380260800 is a wasteful number, since it uses less digits than its factorization.

380260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26435 (or 26417 counting only the distinct ones).

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

The square root of 380260800 is about 19500.2769211106. The cubic root of 380260800 is about 724.4813095382.

The spelling of 380260800 in words is "three hundred eighty million, two hundred sixty thousand, eight hundred".