826123280 has 20 divisors (see below), whose sum is σ = 1920736812. Its totient is φ = 330449280.

The previous prime is 826123271. The next prime is 826123297. The reversal of 826123280 is 82321628.

It can be written as a sum of positive squares in 2 ways, for example, as 244734736 + 581388544 = 15644^2 + 24112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5163191 + ... + 5163350.

Almost surely, 2^826123280 is an apocalyptic number.

826123280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826123280 is an abundant number, since it is smaller than the sum of its proper divisors (1094613532).

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

826123280 is a wasteful number, since it uses less digits than its factorization.

826123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326554 (or 10326548 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 826123280 is about 28742.3603762809. The cubic root of 826123280 is about 938.3141959156.

The spelling of 826123280 in words is "eight hundred twenty-six million, one hundred twenty-three thousand, two hundred eighty".