1179779040 has 576 divisors, whose sum is σ = 4737821760. Its totient is φ = 273715200.

The previous prime is 1179779021. The next prime is 1179779071. The reversal of 1179779040 is 409779711.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19340610 + ... + 19340670.

It is an arithmetic number, because the mean of its divisors is an integer number (8225385).

Almost surely, 2^1179779040 is an apocalyptic number.

1179779040 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 1179779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368910880).

1179779040 is an abundant number, since it is smaller than the sum of its proper divisors (3558042720).

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

1179779040 is a wasteful number, since it uses less digits than its factorization.

1179779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 1179779040 is about 34347.9117269158. The cubic root of 1179779040 is about 1056.6558425961.

The spelling of 1179779040 in words is "one billion, one hundred seventy-nine million, seven hundred seventy-nine thousand, forty".