380909760 has 224 divisors, whose sum is σ = 1508101632. Its totient is φ = 79134720.

The previous prime is 380909747. The next prime is 380909827. The reversal of 380909760 is 67909083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71344 + ... + 76496.

Almost surely, 2^380909760 is an apocalyptic number.

380909760 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 380909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754050816).

380909760 is an abundant number, since it is smaller than the sum of its proper divisors (1127191872).

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

380909760 is a wasteful number, since it uses less digits than its factorization.

380909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 380909760 is about 19516.9095914287. The cubic root of 380909760 is about 724.8932129678.

The spelling of 380909760 in words is "three hundred eighty million, nine hundred nine thousand, seven hundred sixty".