739903680 has 224 divisors, whose sum is σ = 2701137600. Its totient is φ = 190439424.

The previous prime is 739903649. The next prime is 739903739. The reversal of 739903680 is 86309937.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249084 + ... + 252036.

It is an arithmetic number, because the mean of its divisors is an integer number (12058650).

Almost surely, 2^739903680 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 739903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350568800).

739903680 is an abundant number, since it is smaller than the sum of its proper divisors (1961233920).

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

739903680 is a wasteful number, since it uses less digits than its factorization.

739903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 739903680 is about 27201.1705630475. The cubic root of 739903680 is about 904.4649238754.

The spelling of 739903680 in words is "seven hundred thirty-nine million, nine hundred three thousand, six hundred eighty".