7822416 has 80 divisors (see below), whose sum is σ = 23871488. Its totient is φ = 2160000.

The previous prime is 7822391. The next prime is 7822417. The reversal of 7822416 is 6142287.

It is a super-2 number, since 2×7822416² = 122380384154112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7822417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10041 + ... + 10791.

Almost surely, 2^7822416 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 7822416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935744).

7822416 is an abundant number, since it is smaller than the sum of its proper divisors (16049072).

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

7822416 is a wasteful number, since it uses less digits than its factorization.

7822416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 7822416 is about 2796.8582373799. The cubic root of 7822416 is about 198.5090462369.

The spelling of 7822416 in words is "seven million, eight hundred twenty-two thousand, four hundred sixteen".