42780540 has 96 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 10167040.

The previous prime is 42780523. The next prime is 42780541. The reversal of 42780540 is 4508724.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42780498 and 42780507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42780541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34369 + ... + 35591.

It is an arithmetic number, because the mean of its divisors is an integer number (1388016).

Almost surely, 2^42780540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42780540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

42780540 is an abundant number, since it is smaller than the sum of its proper divisors (90468996).

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

42780540 is a wasteful number, since it uses less digits than its factorization.

42780540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42780540 is about 6540.6834505272. The cubic root of 42780540 is about 349.7427769936.

The spelling of 42780540 in words is "forty-two million, seven hundred eighty thousand, five hundred forty".