739744320 has 448 divisors, whose sum is σ = 2865217536. Its totient is φ = 158146560.

The previous prime is 739744303. The next prime is 739744321. The reversal of 739744320 is 23447937.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (739744321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11040927 + ... + 11040993.

Almost surely, 2^739744320 is an apocalyptic number.

739744320 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 739744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432608768).

739744320 is an abundant number, since it is smaller than the sum of its proper divisors (2125473216).

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

739744320 is a wasteful number, since it uses less digits than its factorization.

739744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 739744320 is about 27198.2411196018. The cubic root of 739744320 is about 904.3999848465.

The spelling of 739744320 in words is "seven hundred thirty-nine million, seven hundred forty-four thousand, three hundred twenty".