748324800 has 252 divisors, whose sum is σ = 2684750536. Its totient is φ = 197683200.

The previous prime is 748324799. The next prime is 748324807. The reversal of 748324800 is 8423847.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748324807) 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 35 ways as a sum of consecutive naturals, for example, 2260635 + ... + 2260965.

Almost surely, 2^748324800 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 748324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342375268).

748324800 is an abundant number, since it is smaller than the sum of its proper divisors (1936425736).

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

748324800 is a wasteful number, since it uses less digits than its factorization.

748324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 748324800 is about 27355.5259499795. The cubic root of 748324800 is about 907.8833387220.

The spelling of 748324800 in words is "seven hundred forty-eight million, three hundred twenty-four thousand, eight hundred".