738097920 has 504 divisors, whose sum is σ = 3056237856. Its totient is φ = 167215104.

The previous prime is 738097907. The next prime is 738097933. The reversal of 738097920 is 29790837.

It is an interprime number because it is at equal distance from previous prime (738097907) and next prime (738097933).

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531784 + ... + 6531896.

It is an arithmetic number, because the mean of its divisors is an integer number (6063964).

Almost surely, 2^738097920 is an apocalyptic number.

738097920 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 738097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528118928).

738097920 is an abundant number, since it is smaller than the sum of its proper divisors (2318139936).

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

738097920 is an equidigital number, since it uses as much as digits as its factorization.

738097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 738097920 is about 27167.9575971401. The cubic root of 738097920 is about 903.7285320566.

The spelling of 738097920 in words is "seven hundred thirty-eight million, ninety-seven thousand, nine hundred twenty".