1136782080 has 576 divisors, whose sum is σ = 4772167680. Its totient is φ = 250822656.

The previous prime is 1136782033. The next prime is 1136782093. The reversal of 1136782080 is 802876311.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8950977 + ... + 8951103.

Almost surely, 2^1136782080 is an apocalyptic number.

1136782080 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 1136782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386083840).

1136782080 is an abundant number, since it is smaller than the sum of its proper divisors (3635385600).

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

1136782080 is a wasteful number, since it uses less digits than its factorization.

1136782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1136782080 is about 33716.1990740356. The cubic root of 1136782080 is about 1043.6600822297.

The spelling of 1136782080 in words is "one billion, one hundred thirty-six million, seven hundred eighty-two thousand, eighty".