742963600 has 60 divisors (see below), whose sum is σ = 1789458880. Its totient is φ = 296438400.

The previous prime is 742963553. The next prime is 742963607. The reversal of 742963600 is 6369247.

It is a self number, because there is not a number n which added to its sum of digits gives 742963600.

It is not an unprimeable number, because it can be changed into a prime (742963607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173485 + ... + 177715.

Almost surely, 2^742963600 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 742963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894729440).

742963600 is an abundant number, since it is smaller than the sum of its proper divisors (1046495280).

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

742963600 is a wasteful number, since it uses less digits than its factorization.

742963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 742963600 is about 27257.3586394573. The cubic root of 742963600 is about 905.7100336298.

The spelling of 742963600 in words is "seven hundred forty-two million, nine hundred sixty-three thousand, six hundred".