305878680 has 96 divisors (see below), whose sum is σ = 1030957200. Its totient is φ = 81565056.

The previous prime is 305878627. The next prime is 305878681. The reversal of 305878680 is 86878503.

305878680 is a `hidden beast` number, since 3 + 0 + 587 + 8 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305878681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6015 + ... + 25454.

Almost surely, 2^305878680 is an apocalyptic number.

305878680 is a gapful number since it is divisible by the number (30) 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 305878680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515478600).

305878680 is an abundant number, since it is smaller than the sum of its proper divisors (725078520).

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

305878680 is a wasteful number, since it uses less digits than its factorization.

305878680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31495 (or 31479 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 305878680 is about 17489.3876393658. The cubic root of 305878680 is about 673.7773422379. Note that the first 3 decimals are identical.

The spelling of 305878680 in words is "three hundred five million, eight hundred seventy-eight thousand, six hundred eighty".