1187778816 has 360 divisors, whose sum is σ = 4155043200. Its totient is φ = 337333248.

The previous prime is 1187778793. The next prime is 1187778817. The reversal of 1187778816 is 6188777811.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187778817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7112365 + ... + 7112531.

Almost surely, 2^1187778816 is an apocalyptic number.

1187778816 is a gapful number since it is divisible by the number (16) 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 1187778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077521600).

1187778816 is an abundant number, since it is smaller than the sum of its proper divisors (2967264384).

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

1187778816 is an frugal number, since it uses more digits than its factorization.

1187778816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 179 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 54.

The square root of 1187778816 is about 34464.1671305140. The cubic root of 1187778816 is about 1059.0387678510.

The spelling of 1187778816 in words is "one billion, one hundred eighty-seven million, seven hundred seventy-eight thousand, eight hundred sixteen".