1378000 has 80 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 499200.

The previous prime is 1377983. The next prime is 1378001. The reversal of 1378000 is 8731.

It can be written as a sum of positive squares in 8 ways, for example, as 553536 + 824464 = 744^2 + 908^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25974 + ... + 26026.

2^1378000 is an apocalyptic number.

1378000 is a gapful number since it is divisible by the number (10) 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 1378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1378000 is an abundant number, since it is smaller than the sum of its proper divisors (2278016).

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

1378000 is a wasteful number, since it uses less digits than its factorization.

1378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1378000 is about 1173.8824472663. The cubic root of 1378000 is about 111.2798177869.

The spelling of 1378000 in words is "one million, three hundred seventy-eight thousand".