820732392 has 128 divisors (see below), whose sum is σ = 2424297600. Its totient is φ = 256379904.

The previous prime is 820732387. The next prime is 820732399. The reversal of 820732392 is 293237028.

820732392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (820732399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457503 + ... + 1458065.

It is an arithmetic number, because the mean of its divisors is an integer number (18939825).

Almost surely, 2^820732392 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 820732392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212148800).

820732392 is an abundant number, since it is smaller than the sum of its proper divisors (1603565208).

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

820732392 is a wasteful number, since it uses less digits than its factorization.

820732392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 820732392 is about 28648.4273913945. The cubic root of 820732392 is about 936.2687426870.

The spelling of 820732392 in words is "eight hundred twenty million, seven hundred thirty-two thousand, three hundred ninety-two".