42797120 has 56 divisors (see below), whose sum is σ = 107289600. Its totient is φ = 16215552.

The previous prime is 42797107. The next prime is 42797137. The reversal of 42797120 is 2179724.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2561 + ... + 9599.

Almost surely, 2^42797120 is an apocalyptic number.

42797120 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 42797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53644800).

42797120 is an abundant number, since it is smaller than the sum of its proper divisors (64492480).

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

42797120 is a wasteful number, since it uses less digits than its factorization.

42797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 42797120 is about 6541.9507793929. The cubic root of 42797120 is about 349.7879531905.

The spelling of 42797120 in words is "forty-two million, seven hundred ninety-seven thousand, one hundred twenty".