768882380 has 48 divisors (see below), whose sum is σ = 1857124416. Its totient is φ = 261930240.

The previous prime is 768882379. The next prime is 768882407. The reversal of 768882380 is 83288867.

It is a super-2 number, since 2×768882380² = 1182360228548928800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4490 + ... + 39470.

It is an arithmetic number, because the mean of its divisors is an integer number (38690092).

Almost surely, 2^768882380 is an apocalyptic number.

768882380 is a gapful number since it is divisible by the number (70) 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 768882380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928562208).

768882380 is an abundant number, since it is smaller than the sum of its proper divisors (1088242036).

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

768882380 is a wasteful number, since it uses less digits than its factorization.

768882380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35154 (or 35152 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The square root of 768882380 is about 27728.7284237846. The cubic root of 768882380 is about 916.1219795860.

The spelling of 768882380 in words is "seven hundred sixty-eight million, eight hundred eighty-two thousand, three hundred eighty".