77894222968800 has 864 divisors, whose sum is σ = 321818044451904. Its totient is φ = 17356750848000.

The previous prime is 77894222968777. The next prime is 77894222968819. The reversal of 77894222968800 is 886922249877.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2812356552 + ... + 2812384248.

It is an arithmetic number, because the mean of its divisors is an integer number (372474588486).

Almost surely, 2^{77894222968800} is an apocalyptic number.

77894222968800 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 77894222968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160909022225952).

77894222968800 is an abundant number, since it is smaller than the sum of its proper divisors (243923821483104).

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

77894222968800 is a wasteful number, since it uses less digits than its factorization.

77894222968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29132 (or 29116 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 77894222968800 in words is "seventy-seven trillion, eight hundred ninety-four billion, two hundred twenty-two million, nine hundred sixty-eight thousand, eight hundred".