802333920 has 192 divisors, whose sum is σ = 2636686080. Its totient is φ = 204902400.

The previous prime is 802333897. The next prime is 802333927. The reversal of 802333920 is 29333208.

802333920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802333927) 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, 1160775 + ... + 1161465.

It is an arithmetic number, because the mean of its divisors is an integer number (13732740).

Almost surely, 2^802333920 is an apocalyptic number.

802333920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318343040).

802333920 is an abundant number, since it is smaller than the sum of its proper divisors (1834352160).

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

802333920 is a wasteful number, since it uses less digits than its factorization.

802333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 802333920 is about 28325.4994660288. The cubic root of 802333920 is about 929.2196483247.

The spelling of 802333920 in words is "eight hundred two million, three hundred thirty-three thousand, nine hundred twenty".