742942920 has 128 divisors (see below), whose sum is σ = 2267274240. Its totient is φ = 194737920.

The previous prime is 742942913. The next prime is 742942951. The reversal of 742942920 is 29249247.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2625099 + ... + 2625381.

It is an arithmetic number, because the mean of its divisors is an integer number (17713080).

Almost surely, 2^742942920 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 742942920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133637120).

742942920 is an abundant number, since it is smaller than the sum of its proper divisors (1524331320).

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

742942920 is a wasteful number, since it uses less digits than its factorization.

742942920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 742942920 is about 27256.9792897159. The cubic root of 742942920 is about 905.7016302314.

The spelling of 742942920 in words is "seven hundred forty-two million, nine hundred forty-two thousand, nine hundred twenty".