739827312 has 80 divisors (see below), whose sum is σ = 2190336000. Its totient is φ = 210790656.

The previous prime is 739827311. The next prime is 739827317. The reversal of 739827312 is 213728937.

It is a super-2 number, since 2×739827312² = 1094688903162290688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739827311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125814 + ... + 131562.

It is an arithmetic number, because the mean of its divisors is an integer number (27379200).

Almost surely, 2^739827312 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 739827312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095168000).

739827312 is an abundant number, since it is smaller than the sum of its proper divisors (1450508688).

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

739827312 is a wasteful number, since it uses less digits than its factorization.

739827312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6144 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 739827312 is about 27199.7667637059. The cubic root of 739827312 is about 904.4338051610.

The spelling of 739827312 in words is "seven hundred thirty-nine million, eight hundred twenty-seven thousand, three hundred twelve".