742294800 has 480 divisors, whose sum is σ = 3022306560. Its totient is φ = 171417600.

The previous prime is 742294771. The next prime is 742294849. The reversal of 742294800 is 8492247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386645 + ... + 2386955.

It is an arithmetic number, because the mean of its divisors is an integer number (6296472).

Almost surely, 2^742294800 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 742294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511153280).

742294800 is an abundant number, since it is smaller than the sum of its proper divisors (2280011760).

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

742294800 is a wasteful number, since it uses less digits than its factorization.

742294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 742294800 is about 27245.0876306170. The cubic root of 742294800 is about 905.4381850856.

The spelling of 742294800 in words is "seven hundred forty-two million, two hundred ninety-four thousand, eight hundred".