1156320800 has 36 divisors (see below), whose sum is σ = 2822870106. Its totient is φ = 462528000.

The previous prime is 1156320797. The next prime is 1156320811. The reversal of 1156320800 is 80236511.

1156320800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 888278416 + 268042384 = 29804^2 + 16372^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1156320800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 721901 + ... + 723500.

Almost surely, 2^1156320800 is an apocalyptic number.

1156320800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1156320800 is an abundant number, since it is smaller than the sum of its proper divisors (1666549306).

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

1156320800 is a wasteful number, since it uses less digits than its factorization.

1156320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445421 (or 1445408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1156320800 is about 34004.7173198073. The cubic root of 1156320800 is about 1049.6055358776.

The spelling of 1156320800 in words is "one billion, one hundred fifty-six million, three hundred twenty thousand, eight hundred".