1226080800 has 864 divisors, whose sum is σ = 5527896192. Its totient is φ = 258785280.

The previous prime is 1226080789. The next prime is 1226080813. The reversal of 1226080800 is 80806221.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23133574 + ... + 23133626.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2^1226080800 is an apocalyptic number.

1226080800 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 1226080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763948096).

1226080800 is an abundant number, since it is smaller than the sum of its proper divisors (4301815392).

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

1226080800 is a wasteful number, since it uses less digits than its factorization.

1226080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1226080800 is about 35015.4365958787. The cubic root of 1226080800 is about 1070.3020662879.

The spelling of 1226080800 in words is "one billion, two hundred twenty-six million, eighty thousand, eight hundred".