7823281320 has 80 divisors (see below), whose sum is σ = 26294928660. Its totient is φ = 2086207488.

The previous prime is 7823281313. The next prime is 7823281343. The reversal of 7823281320 is 231823287.

It is a happy number.

7823281320 is a `hidden beast` number, since 7 + 8 + 2 + 328 + 1 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7593031044 + 230250276 = 87138^2 + 15174^2 .

It is a super-2 number, since 2×7823281320² (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1204057 + ... + 1210536.

Almost surely, 2^7823281320 is an apocalyptic number.

It is an amenable number.

7823281320 is an abundant number, since it is smaller than the sum of its proper divisors (18471647340).

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

7823281320 is a wasteful number, since it uses less digits than its factorization.

7823281320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414616 (or 2414603 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7823281320 is about 88449.3149775621. The cubic root of 7823281320 is about 1985.1636569400.

The spelling of 7823281320 in words is "seven billion, eight hundred twenty-three million, two hundred eighty-one thousand, three hundred twenty".