733812960 has 192 divisors, whose sum is σ = 2374541568. Its totient is φ = 190439424.

The previous prime is 733812887. The next prime is 733812967. The reversal of 733812960 is 69218337.

733812960 = T₉ + T₁₀ + ... + T₁₆₃₈.

733812960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733812967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4501839 + ... + 4502001.

It is an arithmetic number, because the mean of its divisors is an integer number (12367404).

Almost surely, 2^733812960 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 733812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187270784).

733812960 is an abundant number, since it is smaller than the sum of its proper divisors (1640728608).

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

733812960 is a wasteful number, since it uses less digits than its factorization.

733812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 733812960 is about 27088.9822621670. The cubic root of 733812960 is about 901.9762990677.

The spelling of 733812960 in words is "seven hundred thirty-three million, eight hundred twelve thousand, nine hundred sixty".