776964672 has 168 divisors, whose sum is σ = 2448763200. Its totient is φ = 233579520.

The previous prime is 776964659. The next prime is 776964677. The reversal of 776964672 is 276469677.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (776964677) 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 23 ways as a sum of consecutive naturals, for example, 943653 + ... + 944475.

Almost surely, 2^776964672 is an apocalyptic number.

776964672 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 776964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224381600).

776964672 is an abundant number, since it is smaller than the sum of its proper divisors (1671798528).

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

776964672 is a wasteful number, since it uses less digits than its factorization.

776964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 776964672 is about 27874.0860298593. The cubic root of 776964672 is about 919.3208093594.

The spelling of 776964672 in words is "seven hundred seventy-six million, nine hundred sixty-four thousand, six hundred seventy-two".