812779622160 has 320 divisors, whose sum is σ = 2778611800320. Its totient is φ = 196524134400.

The previous prime is 812779622101. The next prime is 812779622173. The reversal of 812779622160 is 61226977218.

It is a happy number.

It is a super-2 number, since 2×812779622160² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130647850 + ... + 130654070.

It is an arithmetic number, because the mean of its divisors is an integer number (8683161876).

Almost surely, 2^812779622160 is an apocalyptic number.

812779622160 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 812779622160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389305900160).

812779622160 is an abundant number, since it is smaller than the sum of its proper divisors (1965832178160).

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

812779622160 is a wasteful number, since it uses less digits than its factorization.

812779622160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 812779622160 in words is "eight hundred twelve billion, seven hundred seventy-nine million, six hundred twenty-two thousand, one hundred sixty".