779638099968 has 2080 divisors, whose sum is σ = 3196927641600. Its totient is φ = 187280916480.

The previous prime is 779638099967. The next prime is 779638099969. The reversal of 779638099968 is 869990836977.

779638099968 is a `hidden beast` number, since 7 + 7 + 96 + 380 + 9 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (779638099967) and next prime (779638099969).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779638099967) 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 159 ways as a sum of consecutive naturals, for example, 25149616113 + ... + 25149616143.

Almost surely, 2^779638099968 is an apocalyptic number.

779638099968 is a gapful number since it is divisible by the number (78) 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 779638099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598463820800).

779638099968 is an abundant number, since it is smaller than the sum of its proper divisors (2417289541632).

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

779638099968 is a wasteful number, since it uses less digits than its factorization.

779638099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 779638099968 in words is "seven hundred seventy-nine billion, six hundred thirty-eight million, ninety-nine thousand, nine hundred sixty-eight".