828996720 has 40 divisors (see below), whose sum is σ = 2569890576. Its totient is φ = 221065728.

The previous prime is 828996713. The next prime is 828996737. The reversal of 828996720 is 27699828.

It is a happy number.

828996720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 1726837 + ... + 1727316.

Almost surely, 2^828996720 is an apocalyptic number.

828996720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828996720 is an abundant number, since it is smaller than the sum of its proper divisors (1740893856).

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

828996720 is a wasteful number, since it uses less digits than its factorization.

828996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454169 (or 3454163 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 828996720 is about 28792.3031381652. The cubic root of 828996720 is about 939.4008253381.

The spelling of 828996720 in words is "eight hundred twenty-eight million, nine hundred ninety-six thousand, seven hundred twenty".