826844480 has 224 divisors, whose sum is σ = 2563246080. Its totient is φ = 246343680.

The previous prime is 826844477. The next prime is 826844483. The reversal of 826844480 is 84448628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (826844477) and next prime (826844483).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826844483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565991 + ... + 567449.

Almost surely, 2^826844480 is an apocalyptic number.

826844480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281623040).

826844480 is an abundant number, since it is smaller than the sum of its proper divisors (1736401600).

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

826844480 is a wasteful number, since it uses less digits than its factorization.

826844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 826844480 is about 28754.9035818241. The cubic root of 826844480 is about 938.5871637999.

The spelling of 826844480 in words is "eight hundred twenty-six million, eight hundred forty-four thousand, four hundred eighty".