820309392 has 90 divisors (see below), whose sum is σ = 2670562518. Its totient is φ = 234372096.

The previous prime is 820309387. The next prime is 820309403. The reversal of 820309392 is 293903028.

It can be written as a sum of positive squares in only one way, i.e., 549246096 + 271063296 = 23436^2 + 16464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51073 + ... + 65184.

Almost surely, 2^820309392 is an apocalyptic number.

It is an amenable number.

820309392 is an abundant number, since it is smaller than the sum of its proper divisors (1850253126).

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

820309392 is a wasteful number, since it uses less digits than its factorization.

820309392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116285 (or 116269 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 820309392 is about 28641.0438357264. The cubic root of 820309392 is about 936.1078661575.

The spelling of 820309392 in words is "eight hundred twenty million, three hundred nine thousand, three hundred ninety-two".