381780000 has 480 divisors, whose sum is σ = 1605985920. Its totient is φ = 86400000.

The previous prime is 381779969. The next prime is 381780001. The reversal of 381780000 is 87183.

381780000 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381780001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779950 + ... + 3780050.

It is an arithmetic number, because the mean of its divisors is an integer number (3345804).

Almost surely, 2^381780000 is an apocalyptic number.

381780000 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 381780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802992960).

381780000 is an abundant number, since it is smaller than the sum of its proper divisors (1224205920).

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

381780000 is a wasteful number, since it uses less digits than its factorization.

381780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 381780000 is about 19539.1913855205. The cubic root of 381780000 is about 725.4448320461. Note that the first 3 decimals are identical.

The spelling of 381780000 in words is "three hundred eighty-one million, seven hundred eighty thousand".