826064480 has 48 divisors (see below), whose sum is σ = 1993118400. Its totient is φ = 323392512.

The previous prime is 826064467. The next prime is 826064509. The reversal of 826064480 is 84460628.

It is a happy number.

826064480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47405 + ... + 62444.

It is an arithmetic number, because the mean of its divisors is an integer number (41523300).

Almost surely, 2^826064480 is an apocalyptic number.

826064480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826064480 is an abundant number, since it is smaller than the sum of its proper divisors (1167053920).

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

826064480 is a wasteful number, since it uses less digits than its factorization.

826064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109911 (or 109903 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 826064480 is about 28741.3374775775. The cubic root of 826064480 is about 938.2919336274.

The spelling of 826064480 in words is "eight hundred twenty-six million, sixty-four thousand, four hundred eighty".