8079402240 has 864 divisors, whose sum is σ = 36014952960. Its totient is φ = 1700020224.

The previous prime is 8079402223. The next prime is 8079402241. The reversal of 8079402240 is 422049708.

8079402240 is a `hidden beast` number, since 8 + 0 + 7 + 9 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 8079402195 and 8079402204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8079402241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014537 + ... + 22014903.

Almost surely, 2^8079402240 is an apocalyptic number.

8079402240 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 8079402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007476480).

8079402240 is an abundant number, since it is smaller than the sum of its proper divisors (27935550720).

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

8079402240 is a wasteful number, since it uses less digits than its factorization.

8079402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 397 counting only the distinct ones).

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

The square root of 8079402240 is about 89885.4951591190. The cubic root of 8079402240 is about 2006.5950818764.

The spelling of 8079402240 in words is "eight billion, seventy-nine million, four hundred two thousand, two hundred forty".