380079600 has 240 divisors, whose sum is σ = 1301916672. Its totient is φ = 94561280.

The previous prime is 380079587. The next prime is 380079607. The reversal of 380079600 is 6970083.

It is a happy number.

380079600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380079607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297054 + ... + 1297346.

Almost surely, 2^380079600 is an apocalyptic number.

380079600 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 380079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650958336).

380079600 is an abundant number, since it is smaller than the sum of its proper divisors (921837072).

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

380079600 is a wasteful number, since it uses less digits than its factorization.

380079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 380079600 is about 19495.6302796293. The cubic root of 380079600 is about 724.3662158354.

The spelling of 380079600 in words is "three hundred eighty million, seventy-nine thousand, six hundred".