42876800 has 48 divisors (see below), whose sum is σ = 105927000. Its totient is φ = 17149440.

The previous prime is 42876797. The next prime is 42876803. The reversal of 42876800 is 867824.

It is an interprime number because it is at equal distance from previous prime (42876797) and next prime (42876803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42876803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3500 + ... + 9899.

Almost surely, 2^42876800 is an apocalyptic number.

42876800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42876800 is an abundant number, since it is smaller than the sum of its proper divisors (63050200).

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

42876800 is a wasteful number, since it uses less digits than its factorization.

42876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13423 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 42876800 is about 6548.0378740505. The cubic root of 42876800 is about 350.0048978906.

The spelling of 42876800 in words is "forty-two million, eight hundred seventy-six thousand, eight hundred".