825681600 has 420 divisors, whose sum is σ = 3178387344. Its totient is φ = 209848320.

The previous prime is 825681587. The next prime is 825681607. The reversal of 825681600 is 6186528.

It is a happy number.

825681600 is a `hidden beast` number, since 82 + 568 + 16 + 0 + 0 = 666.

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 (825681607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980662 + ... + 2980938.

Almost surely, 2^825681600 is an apocalyptic number.

825681600 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 825681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589193672).

825681600 is an abundant number, since it is smaller than the sum of its proper divisors (2352705744).

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

825681600 is a wasteful number, since it uses less digits than its factorization.

825681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

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

The square root of 825681600 is about 28734.6759160426. The cubic root of 825681600 is about 938.1469454563.

It can be divided in two parts, 825681 and 600, that added together give a square (826281 = 909²).

The spelling of 825681600 in words is "eight hundred twenty-five million, six hundred eighty-one thousand, six hundred".