380777600 has 192 divisors, whose sum is σ = 1092787200. Its totient is φ = 128409600.

The previous prime is 380777587. The next prime is 380777603. The reversal of 380777600 is 6777083.

It is not an unprimeable number, because it can be changed into a prime (380777603) 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 23 ways as a sum of consecutive naturals, for example, 1993505 + ... + 1993695.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^380777600 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 380777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

380777600 is an abundant number, since it is smaller than the sum of its proper divisors (712009600).

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

380777600 is a wasteful number, since it uses less digits than its factorization.

380777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 380777600 is about 19513.5235157570. The cubic root of 380777600 is about 724.8093672394.

The spelling of 380777600 in words is "three hundred eighty million, seven hundred seventy-seven thousand, six hundred".