748800720 has 80 divisors (see below), whose sum is σ = 2579209920. Its totient is φ = 199679616.

The previous prime is 748800707. The next prime is 748800727. The reversal of 748800720 is 27008847.

It is a tau number, because it is divible by the number of its divisors (80).

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 (748800727) 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 15 ways as a sum of consecutive naturals, for example, 171174 + ... + 175493.

It is an arithmetic number, because the mean of its divisors is an integer number (32240124).

Almost surely, 2^748800720 is an apocalyptic number.

It is an amenable number.

748800720 is an abundant number, since it is smaller than the sum of its proper divisors (1830409200).

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

748800720 is a wasteful number, since it uses less digits than its factorization.

748800720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346689 (or 346677 counting only the distinct ones).

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

The square root of 748800720 is about 27364.2233582464. The cubic root of 748800720 is about 908.0757633095.

The spelling of 748800720 in words is "seven hundred forty-eight million, eight hundred thousand, seven hundred twenty".