739328080 has 80 divisors (see below), whose sum is σ = 1783595664. Its totient is φ = 284774400.

The previous prime is 739328071. The next prime is 739328101. The reversal of 739328080 is 80823937.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 220581904 + 518746176 = 14852^2 + 22776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297724 + ... + 300196.

Almost surely, 2^739328080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 739328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891797832).

739328080 is an abundant number, since it is smaller than the sum of its proper divisors (1044267584).

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

739328080 is a wasteful number, since it uses less digits than its factorization.

739328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 739328080 is about 27190.5880774948. The cubic root of 739328080 is about 904.2303234882.

It can be divided in two parts, 7393280 and 80, that multiplied together give a square (591462400 = 24320²).

The spelling of 739328080 in words is "seven hundred thirty-nine million, three hundred twenty-eight thousand, eighty".