777873920 has 80 divisors (see below), whose sum is σ = 1882279080. Its totient is φ = 308281344.

The previous prime is 777873883. The next prime is 777873949. The reversal of 777873920 is 29378777.

It can be written as a sum of positive squares in 4 ways, for example, as 168376576 + 609497344 = 12976^2 + 24688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 287936 + ... + 290624.

Almost surely, 2^777873920 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 777873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941139540).

777873920 is an abundant number, since it is smaller than the sum of its proper divisors (1104405160).

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

777873920 is a wasteful number, since it uses less digits than its factorization.

777873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 50.

The square root of 777873920 is about 27890.3911768910. The cubic root of 777873920 is about 919.6792832946.

The spelling of 777873920 in words is "seven hundred seventy-seven million, eight hundred seventy-three thousand, nine hundred twenty".