820077708960 has 480 divisors, whose sum is σ = 2958527037312. Its totient is φ = 213853685760.

The previous prime is 820077708941. The next prime is 820077709051. The reversal of 820077708960 is 69807770028.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 820077708897 and 820077708906.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 227355477 + ... + 227359083.

Almost surely, 2^820077708960 is an apocalyptic number.

820077708960 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 820077708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479263518656).

820077708960 is an abundant number, since it is smaller than the sum of its proper divisors (2138449328352).

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

820077708960 is a wasteful number, since it uses less digits than its factorization.

820077708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 820077708960 in words is "eight hundred twenty billion, seventy-seven million, seven hundred eight thousand, nine hundred sixty".