770122675660800 has 6912 divisors, whose sum is σ = 3721063836672000. Its totient is φ = 137933881344000.

The previous prime is 770122675660777. The next prime is 770122675660843. The reversal of 770122675660800 is 8066576221077.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 828980274736 + ... + 828980275664.

It is an arithmetic number, because the mean of its divisors is an integer number (538348356000).

Almost surely, 2^{770122675660800} is an apocalyptic number.

770122675660800 is a gapful number since it is divisible by the number (70) 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 770122675660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860531918336000).

770122675660800 is an abundant number, since it is smaller than the sum of its proper divisors (2950941161011200).

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

770122675660800 is a wasteful number, since it uses less digits than its factorization.

770122675660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 770122675660800 in words is "seven hundred seventy trillion, one hundred twenty-two billion, six hundred seventy-five million, six hundred sixty thousand, eight hundred".