1072864800 has 324 divisors, whose sum is σ = 4402300266. Its totient is φ = 245145600.

The previous prime is 1072864799. The next prime is 1072864843. The reversal of 1072864800 is 84682701.

1072864800 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1024256016 + 48608784 = 32004^2 + 6972^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 351280 + ... + 354320.

Almost surely, 2^1072864800 is an apocalyptic number.

1072864800 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 1072864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201150133).

1072864800 is an abundant number, since it is smaller than the sum of its proper divisors (3329435466).

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

1072864800 is a wasteful number, since it uses less digits than its factorization.

1072864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1072864800 is about 32754.6149420200. The cubic root of 1072864800 is about 1023.7211256375.

The spelling of 1072864800 in words is "one billion, seventy-two million, eight hundred sixty-four thousand, eight hundred".