42768900 has 54 divisors (see below), whose sum is σ = 134059562. Its totient is φ = 11404800.

The previous prime is 42768899. The next prime is 42768907. The reversal of 42768900 is 986724.

It can be written as a sum of positive squares in 3 ways, for example, as 9036036 + 33732864 = 3006^2 + 5808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42768907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22861 + ... + 24660.

Almost surely, 2^42768900 is an apocalyptic number.

It is an amenable number.

42768900 is an abundant number, since it is smaller than the sum of its proper divisors (91290662).

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

42768900 is a wasteful number, since it uses less digits than its factorization.

42768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47541 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42768900 is about 6539.7935747239. The cubic root of 42768900 is about 349.7110540405.

The spelling of 42768900 in words is "forty-two million, seven hundred sixty-eight thousand, nine hundred".