742916500 has 48 divisors (see below), whose sum is σ = 1627713360. Its totient is φ = 296217600.

The previous prime is 742916477. The next prime is 742916543. The reversal of 742916500 is 5619247.

It can be written as a sum of positive squares in 8 ways, for example, as 511754884 + 231161616 = 22622^2 + 15204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166296 + ... + 170704.

It is an arithmetic number, because the mean of its divisors is an integer number (33910695).

Almost surely, 2^742916500 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 742916500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813856680).

742916500 is an abundant number, since it is smaller than the sum of its proper divisors (884796860).

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

742916500 is a wasteful number, since it uses less digits than its factorization.

742916500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 742916500 is about 27256.4946388929. The cubic root of 742916500 is about 905.6908941349.

The spelling of 742916500 in words is "seven hundred forty-two million, nine hundred sixteen thousand, five hundred".