7975820 has 48 divisors (see below), whose sum is σ = 17875200. Its totient is φ = 2980800.

The previous prime is 7975817. The next prime is 7975837. The reversal of 7975820 is 285797.

It is a super-2 number, since 2×7975820² = 127227409344800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52745 + ... + 52895.

It is an arithmetic number, because the mean of its divisors is an integer number (372400).

Almost surely, 2^7975820 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 7975820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937600).

7975820 is an abundant number, since it is smaller than the sum of its proper divisors (9899380).

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

7975820 is a wasteful number, since it uses less digits than its factorization.

7975820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 7975820 is about 2824.1494294743. The cubic root of 7975820 is about 199.7982966472.

The spelling of 7975820 in words is "seven million, nine hundred seventy-five thousand, eight hundred twenty".