825988800 has 672 divisors, whose sum is σ = 3499331584. Its totient is φ = 165888000.

The previous prime is 825988789. The next prime is 825988837. The reversal of 825988800 is 8889528.

825988800 is digitally balanced in base 6, 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 825988800.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1586 × 1550 × 336.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13540770 + ... + 13540830.

Almost surely, 2^825988800 is an apocalyptic number.

825988800 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 825988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749665792).

825988800 is an abundant number, since it is smaller than the sum of its proper divisors (2673342784).

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

825988800 is a wasteful number, since it uses less digits than its factorization.

825988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 825988800 is about 28740.0208768191. The cubic root of 825988800 is about 938.2632788416.

The spelling of 825988800 in words is "eight hundred twenty-five million, nine hundred eighty-eight thousand, eight hundred".