8084400960 has 56 divisors (see below), whose sum is σ = 25667976096. Its totient is φ = 2155840000.

The previous prime is 8084400899. The next prime is 8084400977. The reversal of 8084400960 is 690044808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4209666 + ... + 4211585.

It is an arithmetic number, because the mean of its divisors is an integer number (458356716).

Almost surely, 2^8084400960 is an apocalyptic number.

8084400960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8084400960 is an abundant number, since it is smaller than the sum of its proper divisors (17583575136).

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

8084400960 is a wasteful number, since it uses less digits than its factorization.

8084400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421271 (or 8421261 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8084400960 is about 89913.2969031833. The cubic root of 8084400960 is about 2007.0088228430.

The spelling of 8084400960 in words is "eight billion, eighty-four million, four hundred thousand, nine hundred sixty".