7820904 has 64 divisors (see below), whose sum is σ = 24071040. Its totient is φ = 2062080.

The previous prime is 7820887. The next prime is 7820927. The reversal of 7820904 is 4090287.

It is a super-2 number, since 2×7820904² = 122333078754432, which contains 22 as substring.

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, 394 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (376110).

Almost surely, 2^7820904 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 7820904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035520).

7820904 is an abundant number, since it is smaller than the sum of its proper divisors (16250136).

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

7820904 is a wasteful number, since it uses less digits than its factorization.

7820904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7820904 is about 2796.5879210209. The cubic root of 7820904 is about 198.4962554308.

The spelling of 7820904 in words is "seven million, eight hundred twenty thousand, nine hundred four".