826087680 has 576 divisors, whose sum is σ = 3337770240. Its totient is φ = 191692800.

The previous prime is 826087679. The next prime is 826087687. The reversal of 826087680 is 86780628.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826087687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15586534 + ... + 15586586.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^826087680 is an apocalyptic number.

826087680 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 826087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668885120).

826087680 is an abundant number, since it is smaller than the sum of its proper divisors (2511682560).

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

826087680 is a wasteful number, since it uses less digits than its factorization.

826087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 826087680 is about 28741.7410746113. The cubic root of 826087680 is about 938.3007175135.

The spelling of 826087680 in words is "eight hundred twenty-six million, eighty-seven thousand, six hundred eighty".