742900 has 72 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 253440.

The previous prime is 742897. The next prime is 742909. The reversal of 742900 is 9247.

It is the 13-th Catalan number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32289 + ... + 32311.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁷⁴²⁹⁰⁰ 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 742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

742900 is an abundant number, since it is smaller than the sum of its proper divisors (1131980).

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

742900 is a wasteful number, since it uses less digits than its factorization.

742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 742900 is about 861.9164692707. The cubic root of 742900 is about 90.5684189025.

The spelling of 742900 in words is "seven hundred forty-two thousand, nine hundred".