821152980 has 144 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 206863104.

The previous prime is 821152979. The next prime is 821152987. The reversal of 821152980 is 89251128.

821152980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821152987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243667 + ... + 247013.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^821152980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821152980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

821152980 is an abundant number, since it is smaller than the sum of its proper divisors (1811178540).

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

821152980 is a wasteful number, since it uses less digits than its factorization.

821152980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 821152980 is about 28655.7669588514. The cubic root of 821152980 is about 936.4286470828.

The spelling of 821152980 in words is "eight hundred twenty-one million, one hundred fifty-two thousand, nine hundred eighty".