1187020800 has 576 divisors, whose sum is σ = 5070836160. Its totient is φ = 259522560.

The previous prime is 1187020771. The next prime is 1187020811. The reversal of 1187020800 is 80207811.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51609589 + ... + 51609611.

It is an arithmetic number, because the mean of its divisors is an integer number (8803535).

Almost surely, 2^1187020800 is an apocalyptic number.

1187020800 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 1187020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535418080).

1187020800 is an abundant number, since it is smaller than the sum of its proper divisors (3883815360).

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

1187020800 is an equidigital number, since it uses as much as digits as its factorization.

1187020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

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

The square root of 1187020800 is about 34453.1682142586. The cubic root of 1187020800 is about 1058.8134343264.

The spelling of 1187020800 in words is "one billion, one hundred eighty-seven million, twenty thousand, eight hundred".