1187788800 has 576 divisors, whose sum is σ = 4630953600. Its totient is φ = 265420800.

The previous prime is 1187788787. The next prime is 1187788807. The reversal of 1187788800 is 88877811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1187788800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187788807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32102382 + ... + 32102418.

It is an arithmetic number, because the mean of its divisors is an integer number (8039850).

Almost surely, 2^1187788800 is an apocalyptic number.

1187788800 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 1187788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315476800).

1187788800 is an abundant number, since it is smaller than the sum of its proper divisors (3443164800).

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

1187788800 is a wasteful number, since it uses less digits than its factorization.

1187788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 48.

The square root of 1187788800 is about 34464.3119763038. The cubic root of 1187788800 is about 1059.0417351301.

It can be divided in two parts, 1187 and 788800, that added together give a palindrome (789987).

The spelling of 1187788800 in words is "one billion, one hundred eighty-seven million, seven hundred eighty-eight thousand, eight hundred".