825484800 has 480 divisors, whose sum is σ = 3239292672. Its totient is φ = 181370880.

The previous prime is 825484799. The next prime is 825484831. The reversal of 825484800 is 8484528.

It is a tau number, because it is divible by the number of its divisors (480).

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, 9945559 + ... + 9945641.

Almost surely, 2^825484800 is an apocalyptic number.

825484800 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 825484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619646336).

825484800 is an abundant number, since it is smaller than the sum of its proper divisors (2413807872).

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

825484800 is a wasteful number, since it uses less digits than its factorization.

825484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 825484800 is about 28731.2512780074. The cubic root of 825484800 is about 938.0724042170.

The spelling of 825484800 in words is "eight hundred twenty-five million, four hundred eighty-four thousand, eight hundred".