821758080 has 512 divisors, whose sum is σ = 3195521280. Its totient is φ = 176947200.

The previous prime is 821758061. The next prime is 821758097. The reversal of 821758080 is 80857128.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 11256924 + ... + 11256996.

Almost surely, 2^821758080 is an apocalyptic number.

821758080 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 821758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597760640).

821758080 is an abundant number, since it is smaller than the sum of its proper divisors (2373763200).

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

821758080 is a wasteful number, since it uses less digits than its factorization.

821758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 821758080 is about 28666.3230987164. The cubic root of 821758080 is about 936.6586057965.

The spelling of 821758080 in words is "eight hundred twenty-one million, seven hundred fifty-eight thousand, eighty".