825980400 has 360 divisors, whose sum is σ = 3328135200. Its totient is φ = 185794560.

The previous prime is 825980387. The next prime is 825980423. The reversal of 825980400 is 4089528.

It is a tau number, because it is divible by the number of its divisors (360).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1839376 + ... + 1839824.

It is an arithmetic number, because the mean of its divisors is an integer number (9244820).

Almost surely, 2^825980400 is an apocalyptic number.

825980400 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 825980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664067600).

825980400 is an abundant number, since it is smaller than the sum of its proper divisors (2502154800).

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

825980400 is a wasteful number, since it uses less digits than its factorization.

825980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 825980400 is about 28739.8747387667. The cubic root of 825980400 is about 938.2600982342.

The spelling of 825980400 in words is "eight hundred twenty-five million, nine hundred eighty thousand, four hundred".