7867904 has 60 divisors (see below), whose sum is σ = 17415552. Its totient is φ = 3548160.

The previous prime is 7867901. The next prime is 7867913. The reversal of 7867904 is 4097687.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7867901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61889 + ... + 62015.

Almost surely, 2^7867904 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 7867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707776).

7867904 is an abundant number, since it is smaller than the sum of its proper divisors (9547648).

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

7867904 is a wasteful number, since it uses less digits than its factorization.

7867904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 7867904 is about 2804.9784312896. The cubic root of 7867904 is about 198.8930849981.

The spelling of 7867904 in words is "seven million, eight hundred sixty-seven thousand, nine hundred four".