768839060 has 96 divisors (see below), whose sum is σ = 1842462720. Its totient is φ = 266947200.

The previous prime is 768839053. The next prime is 768839083. The reversal of 768839060 is 60938867.

It is a super-2 number, since 2×768839060² = 1182227000363367200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 768838996 and 768839014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538067 + ... + 539493.

It is an arithmetic number, because the mean of its divisors is an integer number (19192320).

Almost surely, 2^768839060 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 768839060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921231360).

768839060 is an abundant number, since it is smaller than the sum of its proper divisors (1073623660).

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

768839060 is a wasteful number, since it uses less digits than its factorization.

768839060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 768839060 is about 27727.9472734640. The cubic root of 768839060 is about 916.1047740288.

The spelling of 768839060 in words is "seven hundred sixty-eight million, eight hundred thirty-nine thousand, sixty".