7826416 has 40 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 3575040.

The previous prime is 7826411. The next prime is 7826419. The reversal of 7826416 is 6146287.

It is a super-2 number, since 2×7826416² = 122505574810112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7826411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39630 + ... + 39826.

Almost surely, 2^7826416 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 7826416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

7826416 is an abundant number, since it is smaller than the sum of its proper divisors (8672528).

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

7826416 is a wasteful number, since it uses less digits than its factorization.

7826416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 7826416 is about 2797.5732340727. The cubic root of 7826416 is about 198.5428764023.

The spelling of 7826416 in words is "seven million, eight hundred twenty-six thousand, four hundred sixteen".