826129920 has 480 divisors, whose sum is σ = 3343785984. Its totient is φ = 170311680.

The previous prime is 826129919. The next prime is 826129933. The reversal of 826129920 is 29921628.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504897 + ... + 6505023.

Almost surely, 2^826129920 is an apocalyptic number.

826129920 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 826129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671892992).

826129920 is an abundant number, since it is smaller than the sum of its proper divisors (2517656064).

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

826129920 is a wasteful number, since it uses less digits than its factorization.

826129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 826129920 is about 28742.4758850034. The cubic root of 826129920 is about 938.3167098219.

The spelling of 826129920 in words is "eight hundred twenty-six million, one hundred twenty-nine thousand, nine hundred twenty".