768466080 has 144 divisors (see below), whose sum is σ = 2672134920. Its totient is φ = 201037824.

The previous prime is 768465989. The next prime is 768466103. The reversal of 768466080 is 80664867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 605750544 + 162715536 = 24612^2 + 12756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×768466080² = 1181080232221132800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 71286 + ... + 81354.

Almost surely, 2^768466080 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 768466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336067460).

768466080 is an abundant number, since it is smaller than the sum of its proper divisors (1903668840).

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

768466080 is a wasteful number, since it uses less digits than its factorization.

768466080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 768466080 is about 27721.2207523406. The cubic root of 768466080 is about 915.9566095018.

The spelling of 768466080 in words is "seven hundred sixty-eight million, four hundred sixty-six thousand, eighty".