777993856 has 64 divisors (see below), whose sum is σ = 1618617600. Its totient is φ = 372049920.

The previous prime is 777993829. The next prime is 777993869. The reversal of 777993856 is 658399777.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 777993794 and 777993803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352051 + ... + 354253.

It is an arithmetic number, because the mean of its divisors is an integer number (25290900).

Almost surely, 2^777993856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 777993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809308800).

777993856 is an abundant number, since it is smaller than the sum of its proper divisors (840623744).

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

777993856 is a wasteful number, since it uses less digits than its factorization.

777993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2325 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 61.

The square root of 777993856 is about 27892.5412252093. The cubic root of 777993856 is about 919.7265475890.

The spelling of 777993856 in words is "seven hundred seventy-seven million, nine hundred ninety-three thousand, eight hundred fifty-six".