1073766400 has 252 divisors, whose sum is σ = 3126466188. Its totient is φ = 364707840.

The previous prime is 1073766349. The next prime is 1073766403. The reversal of 1073766400 is 46673701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073766403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10035147 + ... + 10035253.

Almost surely, 2^1073766400 is an apocalyptic number.

1073766400 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 1073766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563233094).

1073766400 is an abundant number, since it is smaller than the sum of its proper divisors (2052699788).

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

1073766400 is an equidigital number, since it uses as much as digits as its factorization.

1073766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 1073766400 is about 32768.3749978543. The cubic root of 1073766400 is about 1024.0078124404.

The spelling of 1073766400 in words is "one billion, seventy-three million, seven hundred sixty-six thousand, four hundred".