381780 has 96 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 86400.

The previous prime is 381761. The next prime is 381791. The reversal of 381780 is 87183.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381780.

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, 3730 + ... + 3830.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2³⁸¹⁷⁸⁰ is an apocalyptic number.

381780 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 381780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

381780 is an abundant number, since it is smaller than the sum of its proper divisors (989100).

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

381780 is a wasteful number, since it uses less digits than its factorization.

381780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

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

The square root of 381780 is about 617.8834841619. The cubic root of 381780 is about 72.5444832046.

The spelling of 381780 in words is "three hundred eighty-one thousand, seven hundred eighty".