1320278400 has 768 divisors, whose sum is σ = 5767488000. Its totient is φ = 288645120.

The previous prime is 1320278383. The next prime is 1320278417. The reversal of 1320278400 is 48720231.

It is an interprime number because it is at equal distance from previous prime (1320278383) and next prime (1320278417).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22377571 + ... + 22377629.

It is an arithmetic number, because the mean of its divisors is an integer number (7509750).

Almost surely, 2^1320278400 is an apocalyptic number.

1320278400 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 1320278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883744000).

1320278400 is an abundant number, since it is smaller than the sum of its proper divisors (4447209600).

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

1320278400 is a wasteful number, since it uses less digits than its factorization.

1320278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1320278400 is about 36335.6354010770. The cubic root of 1320278400 is about 1097.0384247697.

Adding to 1320278400 its reverse (48720231), we get a palindrome (1368998631).

The spelling of 1320278400 in words is "one billion, three hundred twenty million, two hundred seventy-eight thousand, four hundred".