1075278400 has 336 divisors, whose sum is σ = 3305820160. Its totient is φ = 335923200.

The previous prime is 1075278397. The next prime is 1075278403. The reversal of 1075278400 is 48725701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1075278397) and next prime (1075278403).

It is not an unprimeable number, because it can be changed into a prime (1075278403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6596719 + ... + 6596881.

Almost surely, 2^1075278400 is an apocalyptic number.

1075278400 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 1075278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652910080).

1075278400 is an abundant number, since it is smaller than the sum of its proper divisors (2230541760).

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

1075278400 is a wasteful number, since it uses less digits than its factorization.

1075278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 1075278400 is about 32791.4379068683. The cubic root of 1075278400 is about 1024.4882315352.

The spelling of 1075278400 in words is "one billion, seventy-five million, two hundred seventy-eight thousand, four hundred".