733920 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 176640.

The previous prime is 733919. The next prime is 733921. The reversal of 733920 is 29337.

It is an interprime number because it is at equal distance from previous prime (733919) and next prime (733921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733921) 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, 5211 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁷³³⁹²⁰ 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 733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

733920 is an abundant number, since it is smaller than the sum of its proper divisors (1806240).

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

733920 is a wasteful number, since it uses less digits than its factorization.

733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 733920 is about 856.6913096326. The cubic root of 733920 is about 90.2020153498.

It can be divided in two parts, 733 and 920, that added together give a triangular number (1653 = T₅₇).

The spelling of 733920 in words is "seven hundred thirty-three thousand, nine hundred twenty".