42765030 has 256 divisors, whose sum is σ = 151787520. Its totient is φ = 8363520.

The previous prime is 42765017. The next prime is 42765031. The reversal of 42765030 is 3056724.

It is a happy number.

42765030 is a `hidden beast` number, since 4 + 2 + 7 + 650 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42764985 and 42765003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2515582 + ... + 2515598.

It is an arithmetic number, because the mean of its divisors is an integer number (592920).

Almost surely, 2^42765030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42765030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75893760).

42765030 is an abundant number, since it is smaller than the sum of its proper divisors (109022490).

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

42765030 is a wasteful number, since it uses less digits than its factorization.

42765030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42765030 is about 6539.4976871316. The cubic root of 42765030 is about 349.7005057012.

The spelling of 42765030 in words is "forty-two million, seven hundred sixty-five thousand, thirty".