768882840 has 128 divisors (see below), whose sum is σ = 2577899520. Its totient is φ = 181836800.

The previous prime is 768882833. The next prime is 768882853. The reversal of 768882840 is 48288867.

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, 47017 + ... + 61223.

It is an arithmetic number, because the mean of its divisors is an integer number (20139840).

Almost surely, 2^768882840 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 768882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288949760).

768882840 is an abundant number, since it is smaller than the sum of its proper divisors (1809016680).

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

768882840 is a wasteful number, since it uses less digits than its factorization.

768882840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14273 (or 14269 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 768882840 is about 27728.7367184299. The cubic root of 768882840 is about 916.1221622824.

The spelling of 768882840 in words is "seven hundred sixty-eight million, eight hundred eighty-two thousand, eight hundred forty".