739773216 has 288 divisors, whose sum is σ = 2683255680. Its totient is φ = 193093632.

The previous prime is 739773157. The next prime is 739773217. The reversal of 739773216 is 612377937.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×739773216² = 1094528822221965312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739773217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7626480 + ... + 7626576.

It is an arithmetic number, because the mean of its divisors is an integer number (9316860).

Almost surely, 2^739773216 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 739773216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341627840).

739773216 is an abundant number, since it is smaller than the sum of its proper divisors (1943482464).

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

739773216 is a wasteful number, since it uses less digits than its factorization.

739773216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 122 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 739773216 is about 27198.7723252356. The cubic root of 739773216 is about 904.4117606276.

The spelling of 739773216 in words is "seven hundred thirty-nine million, seven hundred seventy-three thousand, two hundred sixteen".