7896270816 has 216 divisors, whose sum is σ = 26418843360. Its totient is φ = 2230373376.

The previous prime is 7896270797. The next prime is 7896270817. The reversal of 7896270816 is 6180726987.

7896270816 is a `hidden beast` number, since 7 + 8 + 9 + 627 + 0 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×7896270816² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7896270817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1252825 + ... + 1259111.

It is an arithmetic number, because the mean of its divisors is an integer number (122309460).

Almost surely, 2^7896270816 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 7896270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209421680).

7896270816 is an abundant number, since it is smaller than the sum of its proper divisors (18522572544).

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

7896270816 is a wasteful number, since it uses less digits than its factorization.

7896270816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 7896270816 is about 88860.9633978836. The cubic root of 7896270816 is about 1991.3182696426.

The spelling of 7896270816 in words is "seven billion, eight hundred ninety-six million, two hundred seventy thousand, eight hundred sixteen".