42760900 has 144 divisors (see below), whose sum is σ = 118214656. Its totient is φ = 13063680.

The previous prime is 42760847. The next prime is 42760901. The reversal of 42760900 is 906724.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336637 + ... + 336763.

Almost surely, 2^42760900 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 42760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59107328).

42760900 is an abundant number, since it is smaller than the sum of its proper divisors (75453756).

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

42760900 is a wasteful number, since it uses less digits than its factorization.

42760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 42760900 is about 6539.1819060185. The cubic root of 42760900 is about 349.6892479860.

It can be divided in two parts, 42760 and 900, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 42760900 in words is "forty-two million, seven hundred sixty thousand, nine hundred".