8212078080 has 480 divisors, whose sum is σ = 30278312064. Its totient is φ = 2131992576.

The previous prime is 8212078013. The next prime is 8212078117. The reversal of 8212078080 is 808702128.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 26749287 + ... + 26749593.

Almost surely, 2^8212078080 is an apocalyptic number.

8212078080 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 8212078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139156032).

8212078080 is an abundant number, since it is smaller than the sum of its proper divisors (22066233984).

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

8212078080 is an equidigital number, since it uses as much as digits as its factorization.

8212078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8212078080 is about 90620.5168822160. The cubic root of 8212078080 is about 2017.5192629551.

The spelling of 8212078080 in words is "eight billion, two hundred twelve million, seventy-eight thousand, eighty".