7920810 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 1912320.

The previous prime is 7920791. The next prime is 7920811. The reversal of 7920810 is 180297.

It is a super-2 number, since 2×7920810² = 125478462112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7920811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47347 + ... + 47513.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 2^7920810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7920810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

7920810 is an abundant number, since it is smaller than the sum of its proper divisors (14722902).

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

7920810 is a wasteful number, since it uses less digits than its factorization.

7920810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7920810 is about 2814.3933626983. The cubic root of 7920810 is about 199.3378938292.

The spelling of 7920810 in words is "seven million, nine hundred twenty thousand, eight hundred ten".