743345280 has 384 divisors, whose sum is σ = 2780144640. Its totient is φ = 182476800.

The previous prime is 743345237. The next prime is 743345297. The reversal of 743345280 is 82543347.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106790 + ... + 4106970.

It is an arithmetic number, because the mean of its divisors is an integer number (7239960).

Almost surely, 2^743345280 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 743345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390072320).

743345280 is an abundant number, since it is smaller than the sum of its proper divisors (2036799360).

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

743345280 is a wasteful number, since it uses less digits than its factorization.

743345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 743345280 is about 27264.3591525640. The cubic root of 743345280 is about 905.8651027905.

The spelling of 743345280 in words is "seven hundred forty-three million, three hundred forty-five thousand, two hundred eighty".