1180876800 has 270 divisors, whose sum is σ = 4034666244. Its totient is φ = 304742400.

The previous prime is 1180876789. The next prime is 1180876817. The reversal of 1180876800 is 86780811.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38092785 + ... + 38092815.

Almost surely, 2^1180876800 is an apocalyptic number.

1180876800 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 1180876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017333122).

1180876800 is an abundant number, since it is smaller than the sum of its proper divisors (2853789444).

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

1180876800 is an frugal number, since it uses more digits than its factorization.

1180876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 1180876800 is about 34363.8880221665. Note that the first 3 decimals coincide. The cubic root of 1180876800 is about 1056.9834731362.

The spelling of 1180876800 in words is "one billion, one hundred eighty million, eight hundred seventy-six thousand, eight hundred".