1376400 has 120 divisors (see below), whose sum is σ = 4674304. Its totient is φ = 345600.

The previous prime is 1376393. The next prime is 1376407. The reversal of 1376400 is 46731.

It is an interprime number because it is at equal distance from previous prime (1376393) and next prime (1376407).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1376407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37182 + ... + 37218.

2^1376400 is an apocalyptic number.

1376400 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 1376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337152).

1376400 is an abundant number, since it is smaller than the sum of its proper divisors (3297904).

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

1376400 is a wasteful number, since it uses less digits than its factorization.

1376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1376400 is about 1173.2007500850. The cubic root of 1376400 is about 111.2367319951.

The spelling of 1376400 in words is "one million, three hundred seventy-six thousand, four hundred".