768868779380 has 96 divisors (see below), whose sum is σ = 1750847616000. Its totient is φ = 281933549568.

The previous prime is 768868779377. The next prime is 768868779383. The reversal of 768868779380 is 83977868867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768868779377) and next prime (768868779383).

It is a super-2 number, since 2×768868779380² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768868779383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24277796 + ... + 24309444.

It is an arithmetic number, because the mean of its divisors is an integer number (18237996000).

Almost surely, 2^768868779380 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 768868779380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875423808000).

768868779380 is an abundant number, since it is smaller than the sum of its proper divisors (981978836620).

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

768868779380 is a wasteful number, since it uses less digits than its factorization.

768868779380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32313 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 77.

The spelling of 768868779380 in words is "seven hundred sixty-eight billion, eight hundred sixty-eight million, seven hundred seventy-nine thousand, three hundred eighty".