748315200 has 336 divisors, whose sum is σ = 2612404224. Its totient is φ = 187238400.

The previous prime is 748315181. The next prime is 748315207. The reversal of 748315200 is 2513847.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (748315207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6993547 + ... + 6993653.

Almost surely, 2^748315200 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 748315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306202112).

748315200 is an abundant number, since it is smaller than the sum of its proper divisors (1864089024).

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

748315200 is a wasteful number, since it uses less digits than its factorization.

748315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 748315200 is about 27355.3504821269. The cubic root of 748315200 is about 907.8794563983.

The spelling of 748315200 in words is "seven hundred forty-eight million, three hundred fifteen thousand, two hundred".