742950000 has 360 divisors, whose sum is σ = 2820819456. Its totient is φ = 181440000.

The previous prime is 742949957. The next prime is 742950011. The reversal of 742950000 is 59247.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5849937 + ... + 5850063.

Almost surely, 2^742950000 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 742950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410409728).

742950000 is an abundant number, since it is smaller than the sum of its proper divisors (2077869456).

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

742950000 is a wasteful number, since it uses less digits than its factorization.

742950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 742950000 is about 27257.1091643997. The cubic root of 742950000 is about 905.7045072345.

The spelling of 742950000 in words is "seven hundred forty-two million, nine hundred fifty thousand".