733345920 has 384 divisors, whose sum is σ = 2755468800. Its totient is φ = 184135680.

The previous prime is 733345913. The next prime is 733345933. The reversal of 733345920 is 29543337.

733345920 is a `hidden beast` number, since 7 + 33 + 34 + 592 + 0 = 666.

733345920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×733345920³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19820142 + ... + 19820178.

It is an arithmetic number, because the mean of its divisors is an integer number (7175700).

Almost surely, 2^733345920 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 733345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377734400).

733345920 is an abundant number, since it is smaller than the sum of its proper divisors (2022122880).

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

733345920 is a wasteful number, since it uses less digits than its factorization.

733345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 733345920 is about 27080.3604111910. The cubic root of 733345920 is about 901.7849022421.

The spelling of 733345920 in words is "seven hundred thirty-three million, three hundred forty-five thousand, nine hundred twenty".