378780 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 98368.

The previous prime is 378779. The next prime is 378793. The reversal of 378780 is 87873.

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 378780.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3487 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁷⁸⁷⁸⁰ is an apocalyptic number.

378780 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 378780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

378780 is an abundant number, since it is smaller than the sum of its proper divisors (709860).

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

378780 is a wasteful number, since it uses less digits than its factorization.

378780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 378780 is about 615.4510541058. The cubic root of 378780 is about 72.3539668508.

The spelling of 378780 in words is "three hundred seventy-eight thousand, seven hundred eighty".