743893920 has 288 divisors, whose sum is σ = 3165402240. Its totient is φ = 154552320.

The previous prime is 743893903. The next prime is 743893921. The reversal of 743893920 is 29398347.

It is a happy number.

743893920 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (743893921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107526 + ... + 114234.

It is an arithmetic number, because the mean of its divisors is an integer number (10990980).

Almost surely, 2^743893920 is an apocalyptic number.

743893920 is a gapful number since it is divisible by the number (70) 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 743893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582701120).

743893920 is an abundant number, since it is smaller than the sum of its proper divisors (2421508320).

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

743893920 is a wasteful number, since it uses less digits than its factorization.

743893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 743893920 is about 27274.4187839081. The cubic root of 743893920 is about 906.0879115899.

The spelling of 743893920 in words is "seven hundred forty-three million, eight hundred ninety-three thousand, nine hundred twenty".