1188794880 has 840 divisors, whose sum is σ = 5353649532. Its totient is φ = 250822656.

The previous prime is 1188794837. The next prime is 1188794903. The reversal of 1188794880 is 884978811.

It is a happy number.

1188794880 is a `hidden beast` number, since 11 + 88 + 79 + 488 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 82301184 = 33264^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91445754 + ... + 91445766.

Almost surely, 2^1188794880 is an apocalyptic number.

1188794880 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 1188794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676824766).

1188794880 is an abundant number, since it is smaller than the sum of its proper divisors (4164854652).

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

1188794880 is an frugal number, since it uses more digits than its factorization.

1188794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The square root of 1188794880 is about 34478.9048549979. The cubic root of 1188794880 is about 1059.3406603326.

The spelling of 1188794880 in words is "one billion, one hundred eighty-eight million, seven hundred ninety-four thousand, eight hundred eighty".