1078011200 has 168 divisors, whose sum is σ = 3137001600. Its totient is φ = 356751360.

The previous prime is 1078011139. The next prime is 1078011217. The reversal of 1078011200 is 21108701.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323141 + ... + 326459.

Almost surely, 2^1078011200 is an apocalyptic number.

1078011200 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 1078011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568500800).

1078011200 is an abundant number, since it is smaller than the sum of its proper divisors (2058990400).

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

1078011200 is a wasteful number, since it uses less digits than its factorization.

1078011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 1078011200 is about 32833.0808788941. The cubic root of 1078011200 is about 1025.3554032274.

Adding to 1078011200 its reverse (21108701), we get a palindrome (1099119901).

The spelling of 1078011200 in words is "one billion, seventy-eight million, eleven thousand, two hundred".