7931404008 has 320 divisors, whose sum is σ = 25127150400. Its totient is φ = 2316625920.

The previous prime is 7931404007. The next prime is 7931404021. The reversal of 7931404008 is 8004041397.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (7931404003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34634838 + ... + 34635066.

It is an arithmetic number, because the mean of its divisors is an integer number (78522345).

Almost surely, 2^7931404008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7931404008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563575200).

7931404008 is an abundant number, since it is smaller than the sum of its proper divisors (17195746392).

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

7931404008 is a wasteful number, since it uses less digits than its factorization.

7931404008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7931404008 is about 89058.4303028074. The cubic root of 7931404008 is about 1994.2672508271.

The spelling of 7931404008 in words is "seven billion, nine hundred thirty-one million, four hundred four thousand, eight".