768636072 has 48 divisors (see below), whose sum is σ = 2148881280. Its totient is φ = 247946400.

The previous prime is 768636007. The next prime is 768636101. The reversal of 768636072 is 270636867.

768636072 is a `hidden beast` number, since 7 + 6 + 8 + 636 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×768636072³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169954 + ... + 174417.

It is an arithmetic number, because the mean of its divisors is an integer number (44768360).

Almost surely, 2^768636072 is an apocalyptic number.

768636072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

768636072 is an abundant number, since it is smaller than the sum of its proper divisors (1380245208).

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

768636072 is a wasteful number, since it uses less digits than its factorization.

768636072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344414 (or 344407 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 768636072 is about 27724.2866815361. The cubic root of 768636072 is about 916.0241439578.

The spelling of 768636072 in words is "seven hundred sixty-eight million, six hundred thirty-six thousand, seventy-two".