768466260 has 72 divisors (see below), whose sum is σ = 2340898560. Its totient is φ = 204055488.

The previous prime is 768466253. The next prime is 768466319. The reversal of 768466260 is 62664867.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34089 + ... + 51951.

It is an arithmetic number, because the mean of its divisors is an integer number (32512480).

Almost surely, 2^768466260 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 768466260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170449280).

768466260 is an abundant number, since it is smaller than the sum of its proper divisors (1572432300).

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

768466260 is a wasteful number, since it uses less digits than its factorization.

768466260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18117 (or 18112 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 768466260 is about 27721.2239989507. The cubic root of 768466260 is about 915.9566810175.

The spelling of 768466260 in words is "seven hundred sixty-eight million, four hundred sixty-six thousand, two hundred sixty".