7873020 has 72 divisors (see below), whose sum is σ = 24111360. Its totient is φ = 2079360.

The previous prime is 7873009. The next prime is 7873027. The reversal of 7873020 is 203787.

7873020 = 424² + 425² + ... + 463².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7873027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34266 + ... + 34494.

It is an arithmetic number, because the mean of its divisors is an integer number (334880).

Almost surely, 2^7873020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7873020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055680).

7873020 is an abundant number, since it is smaller than the sum of its proper divisors (16238340).

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

7873020 is a wasteful number, since it uses less digits than its factorization.

7873020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7873020 is about 2805.8902330633. The cubic root of 7873020 is about 198.9361848527.

The spelling of 7873020 in words is "seven million, eight hundred seventy-three thousand, twenty".