768620880 has 160 divisors (see below), whose sum is σ = 2656437120. Its totient is φ = 204272640.

The previous prime is 768620873. The next prime is 768620887. The reversal of 768620880 is 88026867.

It is an interprime number because it is at equal distance from previous prime (768620873) and next prime (768620887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768620887) 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 31 ways as a sum of consecutive naturals, for example, 1125019 + ... + 1125701.

It is an arithmetic number, because the mean of its divisors is an integer number (16602732).

Almost surely, 2^768620880 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 768620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328218560).

768620880 is an abundant number, since it is smaller than the sum of its proper divisors (1887816240).

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

768620880 is a wasteful number, since it uses less digits than its factorization.

768620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 768620880 is about 27724.0126965777. The cubic root of 768620880 is about 916.0181088822.

The spelling of 768620880 in words is "seven hundred sixty-eight million, six hundred twenty thousand, eight hundred eighty".