825330816 has 128 divisors (see below), whose sum is σ = 2564280000. Its totient is φ = 260610048.

The previous prime is 825330811. The next prime is 825330829. The reversal of 825330816 is 618033528.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (825330811) 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, 59380 + ... + 71948.

Almost surely, 2^825330816 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 825330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282140000).

825330816 is an abundant number, since it is smaller than the sum of its proper divisors (1738949184).

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

825330816 is a wasteful number, since it uses less digits than its factorization.

825330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 825330816 is about 28728.5714228884. The cubic root of 825330816 is about 938.0140719805.

The spelling of 825330816 in words is "eight hundred twenty-five million, three hundred thirty thousand, eight hundred sixteen".