828810720 has 288 divisors, whose sum is σ = 2971987200. Its totient is φ = 210051072.

The previous prime is 828810709. The next prime is 828810751. The reversal of 828810720 is 27018828.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3716529 + ... + 3716751.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^828810720 is an apocalyptic number.

828810720 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 828810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

828810720 is an abundant number, since it is smaller than the sum of its proper divisors (2143176480).

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

828810720 is a wasteful number, since it uses less digits than its factorization.

828810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 828810720 is about 28789.0729270673. The cubic root of 828810720 is about 939.3305630484.

The spelling of 828810720 in words is "eight hundred twenty-eight million, eight hundred ten thousand, seven hundred twenty".