42765600 has 144 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 11228160.

The previous prime is 42765581. The next prime is 42765649. The reversal of 42765600 is 656724.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 247114 + ... + 247286.

It is an arithmetic number, because the mean of its divisors is an integer number (981708).

Almost surely, 2^42765600 is an apocalyptic number.

42765600 is a gapful number since it is divisible by the number (40) 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 42765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

42765600 is an abundant number, since it is smaller than the sum of its proper divisors (98600352).

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

42765600 is a wasteful number, since it uses less digits than its factorization.

42765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42765600 is about 6539.5412683154. The cubic root of 42765600 is about 349.7020593725.

It can be divided in two parts, 42765 and 600, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42765600 in words is "forty-two million, seven hundred sixty-five thousand, six hundred".