821052080 has 40 divisors (see below), whose sum is σ = 1910202144. Its totient is φ = 328204800.

The previous prime is 821052053. The next prime is 821052109. The reversal of 821052080 is 80250128.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 182660 + ... + 187100.

Almost surely, 2^821052080 is an apocalyptic number.

821052080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

821052080 is an abundant number, since it is smaller than the sum of its proper divisors (1089150064).

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

821052080 is a wasteful number, since it uses less digits than its factorization.

821052080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 821052080 is about 28654.0063516430. The cubic root of 821052080 is about 936.3902906405.

The spelling of 821052080 in words is "eight hundred twenty-one million, fifty-two thousand, eighty".