820912752 has 80 divisors (see below), whose sum is σ = 2570549760. Its totient is φ = 248760000.

The previous prime is 820912751. The next prime is 820912759. The reversal of 820912752 is 257219028.

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 (820912751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81624 + ... + 91127.

It is an arithmetic number, because the mean of its divisors is an integer number (32131872).

Almost surely, 2^820912752 is an apocalyptic number.

It is an amenable number.

820912752 is an abundant number, since it is smaller than the sum of its proper divisors (1749637008).

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

820912752 is a wasteful number, since it uses less digits than its factorization.

820912752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172779 (or 172767 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 820912752 is about 28651.5750352402. The cubic root of 820912752 is about 936.3373208919.

The spelling of 820912752 in words is "eight hundred twenty million, nine hundred twelve thousand, seven hundred fifty-two".