743942560 has 48 divisors (see below), whose sum is σ = 1765393056. Its totient is φ = 296251648.

The previous prime is 743942509. The next prime is 743942561. The reversal of 743942560 is 65249347.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (743942561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26079 + ... + 46561.

It is an arithmetic number, because the mean of its divisors is an integer number (36779022).

Almost surely, 2^743942560 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 743942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882696528).

743942560 is an abundant number, since it is smaller than the sum of its proper divisors (1021450496).

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

743942560 is a wasteful number, since it uses less digits than its factorization.

743942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 743942560 is about 27275.3104473625. The cubic root of 743942560 is about 906.1076595469.

The spelling of 743942560 in words is "seven hundred forty-three million, nine hundred forty-two thousand, five hundred sixty".