821503080 has 128 divisors (see below), whose sum is σ = 2779459200. Its totient is φ = 215778816.

The previous prime is 821503063. The next prime is 821503099. The reversal of 821503080 is 80305128.

It is a happy number.

821503080 is a `hidden beast` number, since 82 + 1 + 503 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66684 + ... + 78036.

It is an arithmetic number, because the mean of its divisors is an integer number (21714525).

Almost surely, 2^821503080 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 821503080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389729600).

821503080 is an abundant number, since it is smaller than the sum of its proper divisors (1957956120).

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

821503080 is a wasteful number, since it uses less digits than its factorization.

821503080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 821503080 is about 28661.8750258946. The cubic root of 821503080 is about 936.5617108343.

The spelling of 821503080 in words is "eight hundred twenty-one million, five hundred three thousand, eighty".