828990720 has 432 divisors, whose sum is σ = 3162640320. Its totient is φ = 205553664.

The previous prime is 828990697. The next prime is 828990733. The reversal of 828990720 is 27099828.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×828990720² = 1374451227692236800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9987799 + ... + 9987881.

Almost surely, 2^828990720 is an apocalyptic number.

828990720 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 828990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581320160).

828990720 is an abundant number, since it is smaller than the sum of its proper divisors (2333649600).

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

828990720 is a wasteful number, since it uses less digits than its factorization.

828990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 828990720 is about 28792.1989434638. The cubic root of 828990720 is about 939.3985589766.

The spelling of 828990720 in words is "eight hundred twenty-eight million, nine hundred ninety thousand, seven hundred twenty".