1073080800 has 432 divisors, whose sum is σ = 4376251152. Its totient is φ = 244531200.

The previous prime is 1073080769. The next prime is 1073080807. The reversal of 1073080800 is 80803701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073080807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1346002 + ... + 1346798.

It is an arithmetic number, because the mean of its divisors is an integer number (10130211).

Almost surely, 2^1073080800 is an apocalyptic number.

1073080800 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 1073080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188125576).

1073080800 is an abundant number, since it is smaller than the sum of its proper divisors (3303170352).

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

1073080800 is a wasteful number, since it uses less digits than its factorization.

1073080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1073080800 is about 32757.9120213728. The cubic root of 1073080800 is about 1023.7898229935.

The spelling of 1073080800 in words is "one billion, seventy-three million, eighty thousand, eight hundred".