820752990 has 32 divisors (see below), whose sum is σ = 1984853376. Its totient is φ = 217195680.

The previous prime is 820752973. The next prime is 820753019. The reversal of 820752990 is 99257028.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100492 + ... + 108351.

It is an arithmetic number, because the mean of its divisors is an integer number (62026668).

Almost surely, 2^820752990 is an apocalyptic number.

820752990 is an abundant number, since it is smaller than the sum of its proper divisors (1164100386).

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

820752990 is a wasteful number, since it uses less digits than its factorization.

820752990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208984.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 820752990 is about 28648.7868853116. The cubic root of 820752990 is about 936.2765751638.

The spelling of 820752990 in words is "eight hundred twenty million, seven hundred fifty-two thousand, nine hundred ninety".