820264320 has 160 divisors (see below), whose sum is σ = 2929497120. Its totient is φ = 218723328.

The previous prime is 820264303. The next prime is 820264337. The reversal of 820264320 is 23462028.

820264320 is a `hidden beast` number, since 82 + 0 + 264 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (820264303) and next prime (820264337).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43929 + ... + 59751.

It is an arithmetic number, because the mean of its divisors is an integer number (18309357).

Almost surely, 2^820264320 is an apocalyptic number.

820264320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464748560).

820264320 is an abundant number, since it is smaller than the sum of its proper divisors (2109232800).

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

820264320 is a wasteful number, since it uses less digits than its factorization.

820264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15854 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 820264320 is about 28640.2569820873. The cubic root of 820264320 is about 936.0907209897.

The spelling of 820264320 in words is "eight hundred twenty million, two hundred sixty-four thousand, three hundred twenty".