1078243200 has 288 divisors, whose sum is σ = 3983171400. Its totient is φ = 277401600.

The previous prime is 1078243181. The next prime is 1078243211. The reversal of 1078243200 is 23428701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 834555 + ... + 835845.

Almost surely, 2^1078243200 is an apocalyptic number.

1078243200 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 1078243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991585700).

1078243200 is an abundant number, since it is smaller than the sum of its proper divisors (2904928200).

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

1078243200 is a wasteful number, since it uses less digits than its factorization.

1078243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1078243200 is about 32836.6137109173. The cubic root of 1078243200 is about 1025.4289539136.

The spelling of 1078243200 in words is "one billion, seventy-eight million, two hundred forty-three thousand, two hundred".