1127755200 has 672 divisors, whose sum is σ = 4571707392. Its totient is φ = 239616000.

The previous prime is 1127755171. The next prime is 1127755201. The reversal of 1127755200 is 25577211.

It is a super-2 number, since 2×1127755200² = 2543663582254080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127755201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21278374 + ... + 21278426.

It is an arithmetic number, because the mean of its divisors is an integer number (6803136).

Almost surely, 2^1127755200 is an apocalyptic number.

1127755200 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 1127755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285853696).

1127755200 is an abundant number, since it is smaller than the sum of its proper divisors (3443952192).

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

1127755200 is a wasteful number, since it uses less digits than its factorization.

1127755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 1127755200 is about 33582.0666427783. The cubic root of 1127755200 is about 1040.8902633382.

The spelling of 1127755200 in words is "one billion, one hundred twenty-seven million, seven hundred fifty-five thousand, two hundred".