1180720800 has 720 divisors, whose sum is σ = 5217791040. Its totient is φ = 253808640.

The previous prime is 1180720799. The next prime is 1180720813. The reversal of 1180720800 is 80270811.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8618332 + ... + 8618468.

It is an arithmetic number, because the mean of its divisors is an integer number (7246932).

Almost surely, 2^1180720800 is an apocalyptic number.

1180720800 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 1180720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608895520).

1180720800 is an abundant number, since it is smaller than the sum of its proper divisors (4037070240).

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

1180720800 is a wasteful number, since it uses less digits than its factorization.

1180720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1180720800 is about 34361.6181225506. The cubic root of 1180720800 is about 1056.9369267386.

The spelling of 1180720800 in words is "one billion, one hundred eighty million, seven hundred twenty thousand, eight hundred".