742963200 has 288 divisors, whose sum is σ = 2811070080. Its totient is φ = 169574400.

The previous prime is 742963187. The next prime is 742963231. The reversal of 742963200 is 2369247.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074855 + ... + 1075545.

It is an arithmetic number, because the mean of its divisors is an integer number (9760660).

Almost surely, 2^742963200 is an apocalyptic number.

742963200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405535040).

742963200 is an abundant number, since it is smaller than the sum of its proper divisors (2068106880).

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

742963200 is a wasteful number, since it uses less digits than its factorization.

742963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 742963200 is about 27257.3513019882. The cubic root of 742963200 is about 905.7098710897.

The spelling of 742963200 in words is "seven hundred forty-two million, nine hundred sixty-three thousand, two hundred".