748720800 has 288 divisors, whose sum is σ = 2868566400. Its totient is φ = 187822080.

The previous prime is 748720793. The next prime is 748720801. The reversal of 748720800 is 8027847.

It is a tau number, because it is divible by the number of its divisors (288).

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 (748720801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366181 + ... + 368219.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^748720800 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 748720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434283200).

748720800 is an abundant number, since it is smaller than the sum of its proper divisors (2119845600).

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

748720800 is a wasteful number, since it uses less digits than its factorization.

748720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 748720800 is about 27362.7630183796. The cubic root of 748720800 is about 908.0434556495.

The spelling of 748720800 in words is "seven hundred forty-eight million, seven hundred twenty thousand, eight hundred".