1180972800 has 648 divisors, whose sum is σ = 5041239840. Its totient is φ = 258048000.

The previous prime is 1180972763. The next prime is 1180972811. The reversal of 1180972800 is 82790811.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 11692750 + ... + 11692850.

Almost surely, 2^1180972800 is an apocalyptic number.

1180972800 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 1180972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520619920).

1180972800 is an abundant number, since it is smaller than the sum of its proper divisors (3860267040).

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

1180972800 is a wasteful number, since it uses less digits than its factorization.

1180972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1180972800 is about 34365.2848089464. The cubic root of 1180972800 is about 1057.0121150357.

The spelling of 1180972800 in words is "one billion, one hundred eighty million, nine hundred seventy-two thousand, eight hundred".