825300750 has 48 divisors (see below), whose sum is σ = 2061916272. Its totient is φ = 219870400.

The previous prime is 825300733. The next prime is 825300761. The reversal of 825300750 is 57003528.

It is a happy number.

It is a super-2 number, since 2×825300750² = 1362242655901125000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786226 + ... + 787274.

It is an arithmetic number, because the mean of its divisors is an integer number (42956589).

Almost surely, 2^825300750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825300750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030958136).

825300750 is an abundant number, since it is smaller than the sum of its proper divisors (1236615522).

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

825300750 is an equidigital number, since it uses as much as digits as its factorization.

825300750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 1059 counting only the distinct ones).

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

The square root of 825300750 is about 28728.0481411460. The cubic root of 825300750 is about 938.0026815283.

Multiplying 825300750 by its sum of digits (30), we get a square (24759022500 = 157350²).

825300750 divided by its sum of digits (30) gives a square (27510025 = 5245²).

The spelling of 825300750 in words is "eight hundred twenty-five million, three hundred thousand, seven hundred fifty".