307680 has 48 divisors (see below), whose sum is σ = 970704. Its totient is φ = 81920.

The previous prime is 307669. The next prime is 307687. The reversal of 307680 is 86703.

307680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

307680 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 307680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307687) by changing a digit.

307680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (20223).

2³⁰⁷⁶⁸⁰ is an apocalyptic number.

307680 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 307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485352).

307680 is an abundant number, since it is smaller than the sum of its proper divisors (663024).

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

307680 is a wasteful number, since it uses less digits than its factorization.

307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 307680 is about 554.6891021104. The cubic root of 307680 is about 67.5097379641.

It can be divided in two parts, 30 and 7680, that multiplied together give a square (230400 = 480²).

The spelling of 307680 in words is "three hundred seven thousand, six hundred eighty".