8082400935 has 32 divisors (see below), whose sum is σ = 14799071232. Its totient is φ = 3689856000.

The previous prime is 8082400897. The next prime is 8082400939. The reversal of 8082400935 is 5390042808.

It is a happy number.

It is not a de Polignac number, because 8082400935 - 2¹¹ = 8082398887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8082400893 and 8082400902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082400939) 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, 27607 + ... + 130103.

It is an arithmetic number, because the mean of its divisors is an integer number (462470976).

Almost surely, 2^8082400935 is an apocalyptic number.

8082400935 is a deficient number, since it is larger than the sum of its proper divisors (6716670297).

8082400935 is a wasteful number, since it uses less digits than its factorization.

8082400935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103263.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 8082400935 is about 89902.1742506821. The cubic root of 8082400935 is about 2006.8433024825.

The spelling of 8082400935 in words is "eight billion, eighty-two million, four hundred thousand, nine hundred thirty-five".