743456080 has 40 divisors (see below), whose sum is σ = 1735752744. Its totient is φ = 296140800.

The previous prime is 743456033. The next prime is 743456081. The reversal of 743456080 is 80654347.

743456080 is a nontrivial binomial coefficient, being equal to C(38561, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 70157376 + 673298704 = 8376^2 + 25948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743456081) 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, 1 + ... + 38560.

Almost surely, 2^743456080 is an apocalyptic number.

743456080 is the 38560-th triangular number.

743456080 is the 12854-th centered nonagonal number.

It is an amenable number.

743456080 is an abundant number, since it is smaller than the sum of its proper divisors (992296664).

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

743456080 is a wasteful number, since it uses less digits than its factorization.

743456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38815 (or 38809 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 743456080 is about 27266.3910336517. The cubic root of 743456080 is about 905.9101087339.

The spelling of 743456080 in words is "seven hundred forty-three million, four hundred fifty-six thousand, eighty".