30792768 has 112 divisors (see below), whose sum is σ = 89733120. Its totient is φ = 9275904.

The previous prime is 30792761. The next prime is 30792799. The reversal of 30792768 is 86729703.

It is a super-2 number, since 2×30792768² = 1896389122203648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30792761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83721 + ... + 84087.

Almost surely, 2^30792768 is an apocalyptic number.

30792768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866560).

30792768 is an abundant number, since it is smaller than the sum of its proper divisors (58940352).

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

30792768 is a wasteful number, since it uses less digits than its factorization.

30792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 30792768 is about 5549.1231739798. The cubic root of 30792768 is about 313.4365054340.

The spelling of 30792768 in words is "thirty million, seven hundred ninety-two thousand, seven hundred sixty-eight".