825974784 has 168 divisors, whose sum is σ = 2530190520. Its totient is φ = 258736128.

The previous prime is 825974759. The next prime is 825974789. The reversal of 825974784 is 487479528.

It is a happy number.

825974784 is a `hidden beast` number, since 8 + 2 + 597 + 47 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 825974784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825974789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253047 + ... + 1253705.

Almost surely, 2^825974784 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 825974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265095260).

825974784 is an abundant number, since it is smaller than the sum of its proper divisors (1704215736).

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

825974784 is a wasteful number, since it uses less digits than its factorization.

825974784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 681 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 825974784 is about 28739.7770346257. Note that the first 3 decimals coincide. The cubic root of 825974784 is about 938.2579717589.

The spelling of 825974784 in words is "eight hundred twenty-five million, nine hundred seventy-four thousand, seven hundred eighty-four".