380723200 has 252 divisors, whose sum is σ = 1115289108. Its totient is φ = 127795200.

The previous prime is 380723179. The next prime is 380723201. The reversal of 380723200 is 2327083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380723201) 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, 29286394 + ... + 29286406.

Almost surely, 2^380723200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557644554).

380723200 is an abundant number, since it is smaller than the sum of its proper divisors (734565908).

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

380723200 is a wasteful number, since it uses less digits than its factorization.

380723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 380723200 is about 19512.1295608655. The cubic root of 380723200 is about 724.7748488333.

The spelling of 380723200 in words is "three hundred eighty million, seven hundred twenty-three thousand, two hundred".