748881504 has 360 divisors, whose sum is σ = 2689296120. Its totient is φ = 202704768.

The previous prime is 748881493. The next prime is 748881509. The reversal of 748881504 is 405188847.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 748881504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748881509) 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 59 ways as a sum of consecutive naturals, for example, 39414807 + ... + 39414825.

It is an arithmetic number, because the mean of its divisors is an integer number (7470267).

Almost surely, 2^748881504 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 748881504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344648060).

748881504 is an abundant number, since it is smaller than the sum of its proper divisors (1940414616).

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

748881504 is an equidigital number, since it uses as much as digits as its factorization.

748881504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 748881504 is about 27365.6994063737. The cubic root of 748881504 is about 908.1084179053.

The spelling of 748881504 in words is "seven hundred forty-eight million, eight hundred eighty-one thousand, five hundred four".