743745280 has 72 divisors (see below), whose sum is σ = 1789636464. Its totient is φ = 296140800.

The previous prime is 743745241. The next prime is 743745283. The reversal of 743745280 is 82547347.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743745283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 307275 + ... + 309685.

It is an arithmetic number, because the mean of its divisors is an integer number (24856062).

Almost surely, 2^743745280 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 743745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894818232).

743745280 is an abundant number, since it is smaller than the sum of its proper divisors (1045891184).

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

743745280 is a wasteful number, since it uses less digits than its factorization.

743745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 743745280 is about 27271.6937501139. The cubic root of 743745280 is about 906.0275580570.

The spelling of 743745280 in words is "seven hundred forty-three million, seven hundred forty-five thousand, two hundred eighty".