309677680 has 80 divisors (see below), whose sum is σ = 786199680. Its totient is φ = 112748544.

The previous prime is 309677671. The next prime is 309677707. The reversal of 309677680 is 86776903.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 309677680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73881 + ... + 77959.

It is an arithmetic number, because the mean of its divisors is an integer number (9827496).

Almost surely, 2^309677680 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 309677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393099840).

309677680 is an abundant number, since it is smaller than the sum of its proper divisors (476522000).

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

309677680 is a wasteful number, since it uses less digits than its factorization.

309677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 309677680 is about 17597.6612082401. The cubic root of 309677680 is about 676.5553015731. Note that the first 3 decimals are identical.

The spelling of 309677680 in words is "three hundred nine million, six hundred seventy-seven thousand, six hundred eighty".