826341780 has 192 divisors, whose sum is σ = 2731180032. Its totient is φ = 184412160.

The previous prime is 826341779. The next prime is 826341799. The reversal of 826341780 is 87143628.

It is a super-3 number, since 3×826341780³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526557 + ... + 528123.

It is an arithmetic number, because the mean of its divisors is an integer number (14224896).

Almost surely, 2^826341780 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 826341780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365590016).

826341780 is an abundant number, since it is smaller than the sum of its proper divisors (1904838252).

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

826341780 is a wasteful number, since it uses less digits than its factorization.

826341780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 826341780 is about 28746.1611350107. The cubic root of 826341780 is about 938.3969130210.

The spelling of 826341780 in words is "eight hundred twenty-six million, three hundred forty-one thousand, seven hundred eighty".