1378800 has 90 divisors (see below), whose sum is σ = 4797312. Its totient is φ = 366720.

The previous prime is 1378799. The next prime is 1378801. The reversal of 1378800 is 88731.

It is an interprime number because it is at equal distance from previous prime (1378799) and next prime (1378801).

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3409 + ... + 3791.

2^1378800 is an apocalyptic number.

1378800 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 1378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398656).

1378800 is an abundant number, since it is smaller than the sum of its proper divisors (3418512).

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

1378800 is a wasteful number, since it uses less digits than its factorization.

1378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

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

The square root of 1378800 is about 1174.2231474469. The cubic root of 1378800 is about 111.3013481769.

The spelling of 1378800 in words is "one million, three hundred seventy-eight thousand, eight hundred".