826219680 has 192 divisors, whose sum is σ = 3057844608. Its totient is φ = 184872960.

The previous prime is 826219661. The next prime is 826219699. The reversal of 826219680 is 86912628.

826219680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (826219661) and next prime (826219699).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62622 + ... + 74658.

It is an arithmetic number, because the mean of its divisors is an integer number (15926274).

Almost surely, 2^826219680 is an apocalyptic number.

826219680 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 826219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528922304).

826219680 is an abundant number, since it is smaller than the sum of its proper divisors (2231624928).

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

826219680 is a wasteful number, since it uses less digits than its factorization.

826219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 826219680 is about 28744.0372947156. The cubic root of 826219680 is about 938.3506916673.

The spelling of 826219680 in words is "eight hundred twenty-six million, two hundred nineteen thousand, six hundred eighty".