825158400 has 216 divisors, whose sum is σ = 2971518144. Its totient is φ = 199987200.

The previous prime is 825158371. The next prime is 825158413. The reversal of 825158400 is 4851528.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209247 + ... + 213153.

Almost surely, 2^825158400 is an apocalyptic number.

825158400 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 825158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485759072).

825158400 is an abundant number, since it is smaller than the sum of its proper divisors (2146359744).

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

825158400 is a wasteful number, since it uses less digits than its factorization.

825158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 825158400 is about 28725.5704904185. The cubic root of 825158400 is about 937.9487487208.

The spelling of 825158400 in words is "eight hundred twenty-five million, one hundred fifty-eight thousand, four hundred".