768689460 has 576 divisors, whose sum is σ = 3217536000. Its totient is φ = 150232320.

The previous prime is 768689447. The next prime is 768689461. The reversal of 768689460 is 64986867.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 768689397 and 768689406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768689461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5530071 + ... + 5530209.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2^768689460 is an apocalyptic number.

768689460 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 768689460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768000).

768689460 is an abundant number, since it is smaller than the sum of its proper divisors (2448846540).

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

768689460 is a wasteful number, since it uses less digits than its factorization.

768689460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 768689460 is about 27725.2495029350. The cubic root of 768689460 is about 916.0453518986.

The spelling of 768689460 in words is "seven hundred sixty-eight million, six hundred eighty-nine thousand, four hundred sixty".