1278400 has 84 divisors (see below), whose sum is σ = 3401568. Its totient is φ = 471040.

The previous prime is 1278397. The next prime is 1278401. The reversal of 1278400 is 48721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27177 + ... + 27223.

2^1278400 is an apocalyptic number.

1278400 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 1278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700784).

1278400 is an abundant number, since it is smaller than the sum of its proper divisors (2123168).

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

1278400 is a wasteful number, since it uses less digits than its factorization.

1278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1278400 is about 1130.6635220082. The cubic root of 1278400 is about 108.5314455070.

The spelling of 1278400 in words is "one million, two hundred seventy-eight thousand, four hundred".