821968700 has 72 divisors (see below), whose sum is σ = 2158424352. Its totient is φ = 265236480.

The previous prime is 821968699. The next prime is 821968711. The reversal of 821968700 is 7869128.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22637 + ... + 46436.

It is an arithmetic number, because the mean of its divisors is an integer number (29978116).

Almost surely, 2^821968700 is an apocalyptic number.

It is an amenable number.

821968700 is an abundant number, since it is smaller than the sum of its proper divisors (1336455652).

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

821968700 is a wasteful number, since it uses less digits than its factorization.

821968700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69111 (or 69104 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 821968700 is about 28669.9965120333. The cubic root of 821968700 is about 936.7386221210.

The spelling of 821968700 in words is "eight hundred twenty-one million, nine hundred sixty-eight thousand, seven hundred".