7442820 has 192 divisors, whose sum is σ = 29030400. Its totient is φ = 1537920.

The previous prime is 7442801. The next prime is 7442833. The reversal of 7442820 is 282447.

7442820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41491 + ... + 41669.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^7442820 is an apocalyptic number.

7442820 is a gapful number since it is divisible by the number (70) 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 7442820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

7442820 is an abundant number, since it is smaller than the sum of its proper divisors (21587580).

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

7442820 is a wasteful number, since it uses less digits than its factorization.

7442820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7442820 is about 2728.1532215035. The cubic root of 7442820 is about 195.2446633108.

The spelling of 7442820 in words is "seven million, four hundred forty-two thousand, eight hundred twenty".