1197820800 has 576 divisors, whose sum is σ = 4932720000. Its totient is φ = 273715200.

The previous prime is 1197820787. The next prime is 1197820807. The reversal of 1197820800 is 80287911.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1197820807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6019101 + ... + 6019299.

It is an arithmetic number, because the mean of its divisors is an integer number (8563750).

Almost surely, 2^1197820800 is an apocalyptic number.

1197820800 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 1197820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466360000).

1197820800 is an abundant number, since it is smaller than the sum of its proper divisors (3734899200).

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

1197820800 is a wasteful number, since it uses less digits than its factorization.

1197820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

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

The square root of 1197820800 is about 34609.5478155956. The cubic root of 1197820800 is about 1062.0149167471.

The spelling of 1197820800 in words is "one billion, one hundred ninety-seven million, eight hundred twenty thousand, eight hundred".