743104080 has 120 divisors (see below), whose sum is σ = 2502339840. Its totient is φ = 197625600.

The previous prime is 743104073. The next prime is 743104081. The reversal of 743104080 is 80401347.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743104081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314905 + ... + 317255.

It is an arithmetic number, because the mean of its divisors is an integer number (20852832).

Almost surely, 2^743104080 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 743104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

743104080 is an abundant number, since it is smaller than the sum of its proper divisors (1759235760).

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

743104080 is a wasteful number, since it uses less digits than its factorization.

743104080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 743104080 is about 27259.9354364606. The cubic root of 743104080 is about 905.7671140965.

The spelling of 743104080 in words is "seven hundred forty-three million, one hundred four thousand, eighty".