42807120 has 80 divisors (see below), whose sum is σ = 133598592. Its totient is φ = 11338240.

The previous prime is 42807119. The next prime is 42807137. The reversal of 42807120 is 2170824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41005 + ... + 42035.

Almost surely, 2^42807120 is an apocalyptic number.

42807120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66799296).

42807120 is an abundant number, since it is smaller than the sum of its proper divisors (90791472).

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

42807120 is a wasteful number, since it uses less digits than its factorization.

42807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 42807120 is about 6542.7150327674. The cubic root of 42807120 is about 349.8151949545.

Adding to 42807120 its reverse (2170824), we get a palindrome (44977944).

The spelling of 42807120 in words is "forty-two million, eight hundred seven thousand, one hundred twenty".