1293328800 has 216 divisors, whose sum is σ = 4584644064. Its totient is φ = 343073280.

The previous prime is 1293328787. The next prime is 1293328811. The reversal of 1293328800 is 88233921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1893259 + ... + 1893941.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^1293328800 is an apocalyptic number.

1293328800 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 1293328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1293328800 is an abundant number, since it is smaller than the sum of its proper divisors (3291315264).

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

1293328800 is a wasteful number, since it uses less digits than its factorization.

1293328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1293328800 is about 35962.8808634681. The cubic root of 1293328800 is about 1089.5227829901.

The spelling of 1293328800 in words is "one billion, two hundred ninety-three million, three hundred twenty-eight thousand, eight hundred".