748329120 has 576 divisors, whose sum is σ = 3379574016. Its totient is φ = 145981440.

The previous prime is 748329091. The next prime is 748329121. The reversal of 748329120 is 21923847.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (748329121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884762 + ... + 1885158.

It is an arithmetic number, because the mean of its divisors is an integer number (5867316).

Almost surely, 2^748329120 is an apocalyptic number.

748329120 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 748329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689787008).

748329120 is an abundant number, since it is smaller than the sum of its proper divisors (2631244896).

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

748329120 is a wasteful number, since it uses less digits than its factorization.

748329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 748329120 is about 27355.6049101459. The cubic root of 748329120 is about 907.8850857569.

The spelling of 748329120 in words is "seven hundred forty-eight million, three hundred twenty-nine thousand, one hundred twenty".