821890676880 has 1440 divisors, whose sum is σ = 3703280974848. Its totient is φ = 167737651200.

The previous prime is 821890676879. The next prime is 821890676909. The reversal of 821890676880 is 88676098128.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 383880610 + ... + 383882750.

Almost surely, 2^821890676880 is an apocalyptic number.

821890676880 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 821890676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851640487424).

821890676880 is an abundant number, since it is smaller than the sum of its proper divisors (2881390297968).

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

821890676880 is a wasteful number, since it uses less digits than its factorization.

821890676880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 821890676880 in words is "eight hundred twenty-one billion, eight hundred ninety million, six hundred seventy-six thousand, eight hundred eighty".