1140777000 has 512 divisors, whose sum is σ = 4528742400. Its totient is φ = 262944000.

The previous prime is 1140776999. The next prime is 1140777017. The reversal of 1140777000 is 7770411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6830917 + ... + 6831083.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^1140777000 is an apocalyptic number.

1140777000 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 1140777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1140777000 is an abundant number, since it is smaller than the sum of its proper divisors (3387965400).

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

1140777000 is a wasteful number, since it uses less digits than its factorization.

1140777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 1140777000 is about 33775.3904492605. The cubic root of 1140777000 is about 1044.8812086910.

The spelling of 1140777000 in words is "one billion, one hundred forty million, seven hundred seventy-seven thousand".