802825000 has 96 divisors (see below), whose sum is σ = 1993231800. Its totient is φ = 302080000.

The previous prime is 802824989. The next prime is 802825027. The reversal of 802825000 is 528208.

802825000 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 12 ways, for example, as 262634436 + 540190564 = 16206^2 + 23242^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424056 + ... + 425944.

Almost surely, 2^802825000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996615900).

802825000 is an abundant number, since it is smaller than the sum of its proper divisors (1190406800).

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

802825000 is a wasteful number, since it uses less digits than its factorization.

802825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 802825000 is about 28334.1666544121. The cubic root of 802825000 is about 929.4091904035.

The spelling of 802825000 in words is "eight hundred two million, eight hundred twenty-five thousand".