777348864 has 108 divisors (see below), whose sum is σ = 2278442712. Its totient is φ = 254822400.

The previous prime is 777348863. The next prime is 777348893. The reversal of 777348864 is 468843777.

It is a self number, because there is not a number n which added to its sum of digits gives 777348864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777348863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137779 + ... + 143309.

Almost surely, 2^777348864 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 777348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139221356).

777348864 is an abundant number, since it is smaller than the sum of its proper divisors (1501093848).

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

777348864 is a wasteful number, since it uses less digits than its factorization.

777348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5597 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 777348864 is about 27880.9767404229. The cubic root of 777348864 is about 919.4723123871.

The spelling of 777348864 in words is "seven hundred seventy-seven million, three hundred forty-eight thousand, eight hundred sixty-four".