742869600 has 288 divisors, whose sum is σ = 2778572160. Its totient is φ = 170496000.

The previous prime is 742869583. The next prime is 742869629. The reversal of 742869600 is 6968247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500860 + ... + 502340.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 2^742869600 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 742869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

742869600 is an abundant number, since it is smaller than the sum of its proper divisors (2035702560).

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

742869600 is a wasteful number, since it uses less digits than its factorization.

742869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 742869600 is about 27255.6342799062. The cubic root of 742869600 is about 905.6718351079.

It can be divided in two parts, 7428 and 69600, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 742869600 in words is "seven hundred forty-two million, eight hundred sixty-nine thousand, six hundred".