380782080 has 320 divisors, whose sum is σ = 1547758080. Its totient is φ = 86925312.

The previous prime is 380782067. The next prime is 380782081. The reversal of 380782080 is 80287083.

380782080 is a `hidden beast` number, since 380 + 78 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380782081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483447 + ... + 484233.

It is an arithmetic number, because the mean of its divisors is an integer number (4836744).

Almost surely, 2^380782080 is an apocalyptic number.

380782080 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 380782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773879040).

380782080 is an abundant number, since it is smaller than the sum of its proper divisors (1166976000).

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

380782080 is an equidigital number, since it uses as much as digits as its factorization.

380782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 380782080 is about 19513.6383076042. The cubic root of 380782080 is about 724.8122097851.

The spelling of 380782080 in words is "three hundred eighty million, seven hundred eighty-two thousand, eighty".