825785730 has 288 divisors, whose sum is σ = 2823387840. Its totient is φ = 165392640.

The previous prime is 825785713. The next prime is 825785743. The reversal of 825785730 is 37587528.

825785730 is a `hidden beast` number, since 8 + 2 + 5 + 78 + 573 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1406497 + ... + 1407083.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^825785730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825785730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

825785730 is an abundant number, since it is smaller than the sum of its proper divisors (1997602110).

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

825785730 is a wasteful number, since it uses less digits than its factorization.

825785730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 825785730 is about 28736.4877812164. The cubic root of 825785730 is about 938.1863816163.

The spelling of 825785730 in words is "eight hundred twenty-five million, seven hundred eighty-five thousand, seven hundred thirty".