826066080 has 384 divisors, whose sum is σ = 3367526400. Its totient is φ = 185213952.

The previous prime is 826066069. The next prime is 826066093. The reversal of 826066080 is 80660628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1783929 + ... + 1784391.

It is an arithmetic number, because the mean of its divisors is an integer number (8769600).

Almost surely, 2^826066080 is an apocalyptic number.

826066080 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 826066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683763200).

826066080 is an abundant number, since it is smaller than the sum of its proper divisors (2541460320).

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

826066080 is a wasteful number, since it uses less digits than its factorization.

826066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 826066080 is about 28741.3653120376. The cubic root of 826066080 is about 938.2925394179.

The spelling of 826066080 in words is "eight hundred twenty-six million, sixty-six thousand, eighty".