743389920 has 768 divisors, whose sum is σ = 3359784960. Its totient is φ = 149299200.

The previous prime is 743389909. The next prime is 743389937. The reversal of 743389920 is 29983347.

It is a happy number.

743389920 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12186690 + ... + 12186750.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^743389920 is an apocalyptic number.

743389920 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 743389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

743389920 is an abundant number, since it is smaller than the sum of its proper divisors (2616395040).

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

743389920 is a wasteful number, since it uses less digits than its factorization.

743389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

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

The square root of 743389920 is about 27265.1777914614. The cubic root of 743389920 is about 905.8832356868.

The spelling of 743389920 in words is "seven hundred forty-three million, three hundred eighty-nine thousand, nine hundred twenty".