8079208704000 has 1536 divisors, whose sum is σ = 35064983116800. Its totient is φ = 1796367974400.

The previous prime is 8079208703971. The next prime is 8079208704001. The reversal of 8079208704000 is 4078029708.

8079208704000 is a `hidden beast` number, since 80 + 7 + 92 + 0 + 87 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×8079208704000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8079208704001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1790205744 + ... + 1790210256.

It is an arithmetic number, because the mean of its divisors is an integer number (22828765050).

Almost surely, 2^{8079208704000} is an apocalyptic number.

8079208704000 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 8079208704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532491558400).

8079208704000 is an abundant number, since it is smaller than the sum of its proper divisors (26985774412800).

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

8079208704000 is a wasteful number, since it uses less digits than its factorization.

8079208704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 8079208704000 in words is "eight trillion, seventy-nine billion, two hundred eight million, seven hundred four thousand".