748883520 has 504 divisors, whose sum is σ = 3246315072. Its totient is φ = 155105280.

The previous prime is 748883497. The next prime is 748883539. The reversal of 748883520 is 25388847.

748883520 is a `hidden beast` number, since 7 + 48 + 8 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2439207 + ... + 2439513.

Almost surely, 2^748883520 is an apocalyptic number.

748883520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623157536).

748883520 is an abundant number, since it is smaller than the sum of its proper divisors (2497431552).

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

748883520 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (748883519) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (335).

748883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 748883520 is about 27365.7362407811. The cubic root of 748883520 is about 908.1092327850.

The spelling of 748883520 in words is "seven hundred forty-eight million, eight hundred eighty-three thousand, five hundred twenty".