748456800 has 576 divisors, whose sum is σ = 3149798400. Its totient is φ = 150036480.

The previous prime is 748456789. The next prime is 748456801. The reversal of 748456800 is 8654847.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748456801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5023126 + ... + 5023274.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^748456800 is an apocalyptic number.

748456800 is a gapful number since it is divisible by the number (70) 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 748456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

748456800 is an abundant number, since it is smaller than the sum of its proper divisors (2401341600).

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

748456800 is a wasteful number, since it uses less digits than its factorization.

748456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 748456800 is about 27357.9385188285. The cubic root of 748456800 is about 907.9367173062.

The spelling of 748456800 in words is "seven hundred forty-eight million, four hundred fifty-six thousand, eight hundred".