742800 has 60 divisors (see below), whose sum is σ = 2383280. Its totient is φ = 197760.

The previous prime is 742789. The next prime is 742801. The reversal of 742800 is 8247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (742801) 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, 891 + ... + 1509.

2⁷⁴²⁸⁰⁰ 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 742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191640).

742800 is an abundant number, since it is smaller than the sum of its proper divisors (1640480).

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

742800 is a wasteful number, since it uses less digits than its factorization.

742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 742800 is about 861.8584570566. The cubic root of 742800 is about 90.5643549871.

The spelling of 742800 in words is "seven hundred forty-two thousand, eight hundred".