826890080 has 48 divisors (see below), whose sum is σ = 1973704320. Its totient is φ = 327340032.

The previous prime is 826890019. The next prime is 826890083. The reversal of 826890080 is 80098628.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826890083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11120 + ... + 42159.

It is an arithmetic number, because the mean of its divisors is an integer number (41118840).

Almost surely, 2^826890080 is an apocalyptic number.

826890080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826890080 is an abundant number, since it is smaller than the sum of its proper divisors (1146814240).

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

826890080 is a wasteful number, since it uses less digits than its factorization.

826890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53391 (or 53383 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 826890080 is about 28755.6964791326. The cubic root of 826890080 is about 938.6044176645.

The spelling of 826890080 in words is "eight hundred twenty-six million, eight hundred ninety thousand, eighty".