1077001128 has 192 divisors, whose sum is σ = 3546167040. Its totient is φ = 288617472.

The previous prime is 1077001103. The next prime is 1077001139. The reversal of 1077001128 is 8211007701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613500 + ... + 615252.

It is an arithmetic number, because the mean of its divisors is an integer number (18469620).

Almost surely, 2^1077001128 is an apocalyptic number.

1077001128 is a gapful number since it is divisible by the number (18) 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 1077001128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773083520).

1077001128 is an abundant number, since it is smaller than the sum of its proper divisors (2469165912).

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

1077001128 is a wasteful number, since it uses less digits than its factorization.

1077001128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 1077001128 is about 32817.6953486987. The cubic root of 1077001128 is about 1025.0350582496.

Adding to 1077001128 its reverse (8211007701), we get a palindrome (9288008829).

The spelling of 1077001128 in words is "one billion, seventy-seven million, one thousand, one hundred twenty-eight".