42790320 has 120 divisors (see below), whose sum is σ = 145350816. Its totient is φ = 11280384.

The previous prime is 42790313. The next prime is 42790331. The reversal of 42790320 is 2309724.

42790320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42790320² = 3662022971404800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73872 + ... + 74448.

Almost surely, 2^42790320 is an apocalyptic number.

42790320 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 42790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72675408).

42790320 is an abundant number, since it is smaller than the sum of its proper divisors (102560496).

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

42790320 is a wasteful number, since it uses less digits than its factorization.

42790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42790320 is about 6541.4310360960. The cubic root of 42790320 is about 349.7694263669.

The spelling of 42790320 in words is "forty-two million, seven hundred ninety thousand, three hundred twenty".