7959820 has 48 divisors (see below), whose sum is σ = 18472608. Its totient is φ = 2856960.

The previous prime is 7959799. The next prime is 7959821. The reversal of 7959820 is 289597.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7959821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21154 + ... + 21526.

It is an arithmetic number, because the mean of its divisors is an integer number (384846).

Almost surely, 2^7959820 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 7959820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236304).

7959820 is an abundant number, since it is smaller than the sum of its proper divisors (10512788).

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

7959820 is a wasteful number, since it uses less digits than its factorization.

7959820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 7959820 is about 2821.3152960986. The cubic root of 7959820 is about 199.6646045305.

The spelling of 7959820 in words is "seven million, nine hundred fifty-nine thousand, eight hundred twenty".