8067870720 has 936 divisors, whose sum is σ = 35543173536. Its totient is φ = 1656225792.

The previous prime is 8067870703. The next prime is 8067870739. The reversal of 8067870720 is 270787608.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218050542 + ... + 218050578.

It is an arithmetic number, because the mean of its divisors is an integer number (37973476).

Almost surely, 2^8067870720 is an apocalyptic number.

8067870720 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 8067870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771586768).

8067870720 is an abundant number, since it is smaller than the sum of its proper divisors (27475302816).

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

8067870720 is a wasteful number, since it uses less digits than its factorization.

8067870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 8067870720 is about 89821.3266435093. The cubic root of 8067870720 is about 2005.6399737312.

The spelling of 8067870720 in words is "eight billion, sixty-seven million, eight hundred seventy thousand, seven hundred twenty".