30000768 has 64 divisors (see below), whose sum is σ = 91081920. Its totient is φ = 8570880.

The previous prime is 30000757. The next prime is 30000769. The reversal of 30000768 is 86700003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30000769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2893 + ... + 8268.

It is an arithmetic number, because the mean of its divisors is an integer number (1423155).

Almost surely, 2^30000768 is an apocalyptic number.

It is an amenable number.

30000768 is an abundant number, since it is smaller than the sum of its proper divisors (61081152).

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

30000768 is a wasteful number, since it uses less digits than its factorization.

30000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30000768 is about 5477.2956830903. The cubic root of 30000768 is about 310.7259020778.

It can be divided in two parts, 30000 and 768, that multiplied together give a square (23040000 = 4800²).

The spelling of 30000768 in words is "thirty million, seven hundred sixty-eight", and thus it is an aban number.