820076755680 has 1728 divisors, whose sum is σ = 3660930157248. Its totient is φ = 165542952960.

The previous prime is 820076755639. The next prime is 820076755681. The reversal of 820076755680 is 86557670028.

820076755680 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 7 + 6 + 7 + 556 + 80 = 666.

820076755680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820076755681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2477573115 + ... + 2477573445.

It is an arithmetic number, because the mean of its divisors is an integer number (2118593841).

Almost surely, 2^820076755680 is an apocalyptic number.

820076755680 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 820076755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830465078624).

820076755680 is an abundant number, since it is smaller than the sum of its proper divisors (2840853401568).

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

820076755680 is a wasteful number, since it uses less digits than its factorization.

820076755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 820076755680 in words is "eight hundred twenty billion, seventy-six million, seven hundred fifty-five thousand, six hundred eighty".