8077210731072 has 1008 divisors, whose sum is σ = 29163714128640. Its totient is φ = 2124587114496.

The previous prime is 8077210731071. The next prime is 8077210731127. The reversal of 8077210731072 is 2701370127708.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (8077210731071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9469179798 + ... + 9469180650.

It is an arithmetic number, because the mean of its divisors is an integer number (28932256080).

Almost surely, 2^{8077210731072} 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 8077210731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581857064320).

8077210731072 is an abundant number, since it is smaller than the sum of its proper divisors (21086503397568).

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

8077210731072 is a wasteful number, since it uses less digits than its factorization.

8077210731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 8077210731072 in words is "eight trillion, seventy-seven billion, two hundred ten million, seven hundred thirty-one thousand, seventy-two".