8019797760 has 216 divisors, whose sum is σ = 29882658624. Its totient is φ = 1974067200.

The previous prime is 8019797717. The next prime is 8019797771. The reversal of 8019797760 is 677979108.

It is a super-2 number, since 2×8019797760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8019797697 and 8019797706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122985 + ... + 176535.

Almost surely, 2^8019797760 is an apocalyptic number.

8019797760 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 8019797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941329312).

8019797760 is an abundant number, since it is smaller than the sum of its proper divisors (21862860864).

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

8019797760 is a wasteful number, since it uses less digits than its factorization.

8019797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53591 (or 53574 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 8019797760 is about 89553.3235564153. The cubic root of 8019797760 is about 2001.6484542593.

The spelling of 8019797760 in words is "eight billion, nineteen million, seven hundred ninety-seven thousand, seven hundred sixty".