378760 has 32 divisors (see below), whose sum is σ = 903960. Its totient is φ = 142336.

The previous prime is 378757. The next prime is 378761. The reversal of 378760 is 67873.

378760 = T₅₀₁ + T₅₀₂ + T₅₀₃.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 106276 = 522^2 + 326^2 .

It is not an unprimeable number, because it can be changed into a prime (378761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402 + ... + 958.

2³⁷⁸⁷⁶⁰ is an apocalyptic number.

378760 is the 503-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451980).

378760 is an abundant number, since it is smaller than the sum of its proper divisors (525200).

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

378760 is a wasteful number, since it uses less digits than its factorization.

378760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 378760 is about 615.4348056456. The cubic root of 378760 is about 72.3526933721.

The spelling of 378760 in words is "three hundred seventy-eight thousand, seven hundred sixty".