748984320 has 576 divisors, whose sum is σ = 3148104960. Its totient is φ = 167215104.

The previous prime is 748984309. The next prime is 748984331. The reversal of 748984320 is 23489847.

It is an interprime number because it is at equal distance from previous prime (748984309) and next prime (748984331).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418219 + ... + 17418261.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2^748984320 is an apocalyptic number.

748984320 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 748984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574052480).

748984320 is an abundant number, since it is smaller than the sum of its proper divisors (2399120640).

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

748984320 is an equidigital number, since it uses as much as digits as its factorization.

748984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 748984320 is about 27367.5778979434. The cubic root of 748984320 is about 908.1499749037.

It can be divided in two parts, 7489 and 84320, that added together give a square (91809 = 303²).

The spelling of 748984320 in words is "seven hundred forty-eight million, nine hundred eighty-four thousand, three hundred twenty".