309780864 has 96 divisors (see below), whose sum is σ = 938410200. Its totient is φ = 97818624.

The previous prime is 309780853. The next prime is 309780899. The reversal of 309780864 is 468087903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 14812 + ... + 28964.

Almost surely, 2^309780864 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 309780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469205100).

309780864 is an abundant number, since it is smaller than the sum of its proper divisors (628629336).

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

309780864 is a wasteful number, since it uses less digits than its factorization.

309780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 309780864 is about 17600.5927172922. The cubic root of 309780864 is about 676.6304355319.

The spelling of 309780864 in words is "three hundred nine million, seven hundred eighty thousand, eight hundred sixty-four".