742565600 has 216 divisors, whose sum is σ = 2221967160. Its totient is φ = 240952320.

The previous prime is 742565539. The next prime is 742565611. The reversal of 742565600 is 6565247.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 744302 + ... + 745298.

It is an arithmetic number, because the mean of its divisors is an integer number (10286885).

Almost surely, 2^742565600 is an apocalyptic number.

742565600 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 742565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110983580).

742565600 is an abundant number, since it is smaller than the sum of its proper divisors (1479401560).

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

742565600 is a wasteful number, since it uses less digits than its factorization.

742565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 742565600 is about 27250.0568806746. The cubic root of 742565600 is about 905.5482773966.

The spelling of 742565600 in words is "seven hundred forty-two million, five hundred sixty-five thousand, six hundred".