7826004 has 48 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 2589120.

The previous prime is 7825999. The next prime is 7826023. The reversal of 7826004 is 4006287.

It is a super-2 number, since 2×7826004² = 122492677216032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25009 + ... + 25319.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^7826004 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 7826004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

7826004 is an abundant number, since it is smaller than the sum of its proper divisors (12616236).

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

7826004 is a wasteful number, since it uses less digits than its factorization.

7826004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7826004 is about 2797.4995978552. The cubic root of 7826004 is about 198.5393924278.

It can be divided in two parts, 782 and 6004, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 7826004 in words is "seven million, eight hundred twenty-six thousand, four".