821376000 has 528 divisors, whose sum is σ = 3188210688. Its totient is φ = 202752000.

The previous prime is 821375963. The next prime is 821376043. The reversal of 821376000 is 673128.

821376000 is a `hidden beast` number, since 8 + 21 + 37 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26495985 + ... + 26496015.

Almost surely, 2^821376000 is an apocalyptic number.

821376000 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 821376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594105344).

821376000 is an abundant number, since it is smaller than the sum of its proper divisors (2366834688).

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

821376000 is a wasteful number, since it uses less digits than its factorization.

821376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 821376000 is about 28659.6580579741. The cubic root of 821376000 is about 936.5134154585.

The spelling of 821376000 in words is "eight hundred twenty-one million, three hundred seventy-six thousand".