743287680 has 192 divisors, whose sum is σ = 2627230320. Its totient is φ = 193536000.

The previous prime is 743287663. The next prime is 743287687. The reversal of 743287680 is 86782347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743287687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246180 + ... + 249180.

Almost surely, 2^743287680 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 743287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313615160).

743287680 is an abundant number, since it is smaller than the sum of its proper divisors (1883942640).

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

743287680 is a wasteful number, since it uses less digits than its factorization.

743287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 743287680 is about 27263.3028079871. The cubic root of 743287680 is about 905.8417044321.

The spelling of 743287680 in words is "seven hundred forty-three million, two hundred eighty-seven thousand, six hundred eighty".