742753040 has 40 divisors (see below), whose sum is σ = 1735703640. Its totient is φ = 295586816.

The previous prime is 742753031. The next prime is 742753051. The reversal of 742753040 is 40357247.

It can be written as a sum of positive squares in 4 ways, for example, as 49168144 + 693584896 = 7012^2 + 26336^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 742752988 and 742753006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7805 + ... + 39324.

It is an arithmetic number, because the mean of its divisors is an integer number (43392591).

Almost surely, 2^742753040 is an apocalyptic number.

It is an amenable number.

742753040 is an abundant number, since it is smaller than the sum of its proper divisors (992950600).

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

742753040 is a wasteful number, since it uses less digits than its factorization.

742753040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47339 (or 47333 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 742753040 is about 27253.4959225418. The cubic root of 742753040 is about 905.6244644654.

The spelling of 742753040 in words is "seven hundred forty-two million, seven hundred fifty-three thousand, forty".