829926720 has 252 divisors, whose sum is σ = 3321224244. Its totient is φ = 189665280.

The previous prime is 829926709. The next prime is 829926737. The reversal of 829926720 is 27629928.

829926720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 506790144 + 323136576 = 22512^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138180 + ... + 144060.

Almost surely, 2^829926720 is an apocalyptic number.

829926720 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 829926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660612122).

829926720 is an abundant number, since it is smaller than the sum of its proper divisors (2491297524).

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

829926720 is a wasteful number, since it uses less digits than its factorization.

829926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 829926720 is about 28808.4487607368. The cubic root of 829926720 is about 939.7519792308.

The spelling of 829926720 in words is "eight hundred twenty-nine million, nine hundred twenty-six thousand, seven hundred twenty".