825335280 has 240 divisors, whose sum is σ = 3455921664. Its totient is φ = 171486720.

The previous prime is 825335263. The next prime is 825335321. The reversal of 825335280 is 82533528.

825335280 is a `hidden beast` number, since 82 + 53 + 3 + 528 + 0 = 666.

825335280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47997 + ... + 62883.

Almost surely, 2^825335280 is an apocalyptic number.

825335280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825335280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727960832).

825335280 is an abundant number, since it is smaller than the sum of its proper divisors (2630586384).

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

825335280 is a wasteful number, since it uses less digits than its factorization.

825335280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 825335280 is about 28728.6491154736. The cubic root of 825335280 is about 938.0157631356.

The spelling of 825335280 in words is "eight hundred twenty-five million, three hundred thirty-five thousand, two hundred eighty".