732786768 has 360 divisors, whose sum is σ = 2604911400. Its totient is φ = 190955520.

The previous prime is 732786763. The next prime is 732786781. The reversal of 732786768 is 867687237.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 731594304 = 1092^2 + 27048^2 .

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 (732786763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4917958 + ... + 4918106.

It is an arithmetic number, because the mean of its divisors is an integer number (7235865).

Almost surely, 2^732786768 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 732786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302455700).

732786768 is an abundant number, since it is smaller than the sum of its proper divisors (1872124632).

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

732786768 is a wasteful number, since it uses less digits than its factorization.

732786768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 732786768 is about 27070.0345031180. The cubic root of 732786768 is about 901.5556502496. Note that the first 3 decimals are identical.

The spelling of 732786768 in words is "seven hundred thirty-two million, seven hundred eighty-six thousand, seven hundred sixty-eight".