8072668080 has 120 divisors (see below), whose sum is σ = 27131468832. Its totient is φ = 2151063552.

The previous prime is 8072668067. The next prime is 8072668099. The reversal of 8072668080 is 808662708.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153552 + ... + 1160528.

Almost surely, 2^8072668080 is an apocalyptic number.

8072668080 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 8072668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565734416).

8072668080 is an abundant number, since it is smaller than the sum of its proper divisors (19058800752).

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

8072668080 is a wasteful number, since it uses less digits than its factorization.

8072668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8072668080 is about 89848.0276912076. The cubic root of 8072668080 is about 2006.0374297156.

The spelling of 8072668080 in words is "eight billion, seventy-two million, six hundred sixty-eight thousand, eighty".