776778912 has 288 divisors, whose sum is σ = 2754041472. Its totient is φ = 202217472.

The previous prime is 776778901. The next prime is 776778923. The reversal of 776778912 is 219877677.

It is an interprime number because it is at equal distance from previous prime (776778901) and next prime (776778923).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 2804118 + ... + 2804394.

It is an arithmetic number, because the mean of its divisors is an integer number (9562644).

Almost surely, 2^776778912 is an apocalyptic number.

776778912 is a gapful number since it is divisible by the number (72) 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 776778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377020736).

776778912 is an abundant number, since it is smaller than the sum of its proper divisors (1977262560).

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

776778912 is a wasteful number, since it uses less digits than its factorization.

776778912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The square root of 776778912 is about 27870.7537034792. The cubic root of 776778912 is about 919.2475384840.

The spelling of 776778912 in words is "seven hundred seventy-six million, seven hundred seventy-eight thousand, nine hundred twelve".