768851460 has 192 divisors, whose sum is σ = 2659829760. Its totient is φ = 183098880.

The previous prime is 768851441. The next prime is 768851471. The reversal of 768851460 is 64158867.

It is a happy number.

768851460 is a `hidden beast` number, since 76 + 8 + 8 + 514 + 60 = 666.

It is a super-2 number, since 2×768851460² = 1182265135088263200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 215854 + ... + 219386.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2^768851460 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 768851460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

768851460 is an abundant number, since it is smaller than the sum of its proper divisors (1890978300).

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

768851460 is a wasteful number, since it uses less digits than its factorization.

768851460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 768851460 is about 27728.1708736801. The cubic root of 768851460 is about 916.1096990465.

The spelling of 768851460 in words is "seven hundred sixty-eight million, eight hundred fifty-one thousand, four hundred sixty".