30780864 has 112 divisors (see below), whose sum is σ = 92659200. Its totient is φ = 10015488.

The previous prime is 30780857. The next prime is 30780881. The reversal of 30780864 is 46808703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81027 + ... + 81405.

Almost surely, 2^30780864 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 30780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329600).

30780864 is an abundant number, since it is smaller than the sum of its proper divisors (61878336).

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

30780864 is a wasteful number, since it uses less digits than its factorization.

30780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30780864 is about 5548.0504684078. The cubic root of 30780864 is about 313.3961103531.

The spelling of 30780864 in words is "thirty million, seven hundred eighty thousand, eight hundred sixty-four".