748369920 has 192 divisors, whose sum is σ = 2536803360. Its totient is φ = 187695104.

The previous prime is 748369907. The next prime is 748369927. The reversal of 748369920 is 29963847.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 748369920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748369927) 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 15 ways as a sum of consecutive naturals, for example, 521524 + ... + 522956.

Almost surely, 2^748369920 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 748369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268401680).

748369920 is an abundant number, since it is smaller than the sum of its proper divisors (1788433440).

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

748369920 is a wasteful number, since it uses less digits than its factorization.

748369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 748369920 is about 27356.3506338108. The cubic root of 748369920 is about 907.9015851987.

The spelling of 748369920 in words is "seven hundred forty-eight million, three hundred sixty-nine thousand, nine hundred twenty".