42784760 has 32 divisors (see below), whose sum is σ = 97266960. Its totient is φ = 16935936.

The previous prime is 42784723. The next prime is 42784769. The reversal of 42784760 is 6748724.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42784769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634 + ... + 9393.

Almost surely, 2^42784760 is an apocalyptic number.

42784760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42784760 is an abundant number, since it is smaller than the sum of its proper divisors (54482200).

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

42784760 is a wasteful number, since it uses less digits than its factorization.

42784760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 42784760 is about 6541.0060388292. The cubic root of 42784760 is about 349.7542765056.

The spelling of 42784760 in words is "forty-two million, seven hundred eighty-four thousand, seven hundred sixty".