748800000 has 432 divisors, whose sum is σ = 2911102740. Its totient is φ = 184320000.

The previous prime is 748799971. The next prime is 748800023. The reversal of 748800000 is 8847.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 204604416 + 544195584 = 14304^2 + 23328^2 .

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, 57599994 + ... + 57600006.

Almost surely, 2^748800000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455551370).

748800000 is an abundant number, since it is smaller than the sum of its proper divisors (2162302740).

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

748800000 is an equidigital number, since it uses as much as digits as its factorization.

748800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 748800000 is about 27364.2102023793. The cubic root of 748800000 is about 908.0754722598.

Adding to 748800000 its reverse (8847), we get a palindrome (748808847).

The spelling of 748800000 in words is "seven hundred forty-eight million, eight hundred thousand".