825753000 has 64 divisors (see below), whose sum is σ = 2576358720. Its totient is φ = 220200000.

The previous prime is 825752999. The next prime is 825753007. The reversal of 825753000 is 357528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (825753007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134626 + ... + 140625.

It is an arithmetic number, because the mean of its divisors is an integer number (40255605).

Almost surely, 2^825753000 is an apocalyptic number.

It is an amenable number.

825753000 is an abundant number, since it is smaller than the sum of its proper divisors (1750605720).

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

825753000 is a wasteful number, since it uses less digits than its factorization.

825753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275275 (or 275261 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 825753000 is about 28735.9182905297. The cubic root of 825753000 is about 938.1739864534.

The spelling of 825753000 in words is "eight hundred twenty-five million, seven hundred fifty-three thousand".