1073318400 has 720 divisors, whose sum is σ = 4828494528. Its totient is φ = 223027200.

The previous prime is 1073318381. The next prime is 1073318413. The reversal of 1073318400 is 48133701.

1073318400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97574395 + ... + 97574405.

Almost surely, 2^1073318400 is an apocalyptic number.

1073318400 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 1073318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414247264).

1073318400 is an abundant number, since it is smaller than the sum of its proper divisors (3755176128).

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

1073318400 is an equidigital number, since it uses as much as digits as its factorization.

1073318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1073318400 is about 32761.5384254159. The cubic root of 1073318400 is about 1023.8653794382.

The spelling of 1073318400 in words is "one billion, seventy-three million, three hundred eighteen thousand, four hundred".