7946820 has 216 divisors, whose sum is σ = 30250584. Its totient is φ = 1677312.

The previous prime is 7946801. The next prime is 7946821. The reversal of 7946820 is 286497.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 5531904 = 1554^2 + 2352^2 .

It is a super-2 number, since 2×7946820² = 126303896224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7946821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149914 + ... + 149966.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

Almost surely, 2^7946820 is an apocalyptic number.

7946820 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 7946820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292).

7946820 is an abundant number, since it is smaller than the sum of its proper divisors (22303764).

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

7946820 is a wasteful number, since it uses less digits than its factorization.

7946820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7946820 is about 2819.0104646844. The cubic root of 7946820 is about 199.5558477072. Note that the first 3 decimals are identical.

The spelling of 7946820 in words is "seven million, nine hundred forty-six thousand, eight hundred twenty".