8078268672 has 432 divisors, whose sum is σ = 25713192960. Its totient is φ = 2525644800.

The previous prime is 8078268661. The next prime is 8078268721. The reversal of 8078268672 is 2768628708.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113778397 + ... + 113778467.

It is an arithmetic number, because the mean of its divisors is an integer number (59521280).

Almost surely, 2^8078268672 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 8078268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

8078268672 is an abundant number, since it is smaller than the sum of its proper divisors (17634924288).

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

8078268672 is an equidigital number, since it uses as much as digits as its factorization.

8078268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 8078268672 is about 89879.1893154361. The cubic root of 8078268672 is about 2006.5012334169.

The spelling of 8078268672 in words is "eight billion, seventy-eight million, two hundred sixty-eight thousand, six hundred seventy-two".