768846330 has 80 divisors (see below), whose sum is σ = 2362694400. Its totient is φ = 175735008.

The previous prime is 768846317. The next prime is 768846341. The reversal of 768846330 is 33648867.

768846330 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 4 + 633 + 0 = 666.

It is a super-2 number, since 2×768846330² = 1182249358308937800, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62130 + ... + 73469.

It is an arithmetic number, because the mean of its divisors is an integer number (29533680).

Almost surely, 2^768846330 is an apocalyptic number.

768846330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

768846330 is an abundant number, since it is smaller than the sum of its proper divisors (1593848070).

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

768846330 is a wasteful number, since it uses less digits than its factorization.

768846330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135625 (or 135616 counting only the distinct ones).

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

The square root of 768846330 is about 27728.0783683255. The cubic root of 768846330 is about 916.1076615254.

The spelling of 768846330 in words is "seven hundred sixty-eight million, eight hundred forty-six thousand, three hundred thirty".