825064704 has 126 divisors (see below), whose sum is σ = 2469788706. Its totient is φ = 274959360.

The previous prime is 825064697. The next prime is 825064729. The reversal of 825064704 is 407460528.

825064704 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 647 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 788486400 + 36578304 = 28080^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 13 ways as a sum of consecutive naturals, for example, 184414 + ... + 188834.

Almost surely, 2^825064704 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 825064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234894353).

825064704 is an abundant number, since it is smaller than the sum of its proper divisors (1644724002).

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

825064704 is an frugal number, since it uses more digits than its factorization.

825064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 825064704 is about 28723.9395626714. The cubic root of 825064704 is about 937.9132462959.

The spelling of 825064704 in words is "eight hundred twenty-five million, sixty-four thousand, seven hundred four".