77772626426880 has 704 divisors, whose sum is σ = 344590017500160. Its totient is φ = 16160543539200.

The previous prime is 77772626426857. The next prime is 77772626426909. The reversal of 77772626426880 is 8862462627777.

77772626426880 is a `hidden beast` number, since 7 + 7 + 7 + 7 + 26 + 264 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 77772626426799 and 77772626426808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6991290 + ... + 14297670.

Almost surely, 2^{77772626426880} is an apocalyptic number.

77772626426880 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 77772626426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172295008750080).

77772626426880 is an abundant number, since it is smaller than the sum of its proper divisors (266817391073280).

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

77772626426880 is a wasteful number, since it uses less digits than its factorization.

77772626426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306433 (or 7306409 counting only the distinct ones).

The product of its (nonzero) digits is 1062125568, while the sum is 72.

The spelling of 77772626426880 in words is "seventy-seven trillion, seven hundred seventy-two billion, six hundred twenty-six million, four hundred twenty-six thousand, eight hundred eighty".