1120808800 has 72 divisors (see below), whose sum is σ = 2802992472. Its totient is φ = 437376000.

The previous prime is 1120808783. The next prime is 1120808807. The reversal of 1120808800 is 88080211.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120808807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15715 + ... + 49885.

It is an arithmetic number, because the mean of its divisors is an integer number (38930451).

Almost surely, 2^1120808800 is an apocalyptic number.

1120808800 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 1120808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401496236).

1120808800 is an abundant number, since it is smaller than the sum of its proper divisors (1682183672).

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

1120808800 is a wasteful number, since it uses less digits than its factorization.

1120808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34232 (or 34219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 1120808800 is about 33478.4826418403. The cubic root of 1120808800 is about 1038.7487417220.

The spelling of 1120808800 in words is "one billion, one hundred twenty million, eight hundred eight thousand, eight hundred".