680730480 has 360 divisors, whose sum is σ = 2527931952. Its totient is φ = 170201088.

The previous prime is 680730467. The next prime is 680730509. The reversal of 680730480 is 84037086.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7017792 + ... + 7017888.

Almost surely, 2^680730480 is an apocalyptic number.

680730480 is a gapful number since it is divisible by the number (60) 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 680730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263965976).

680730480 is an abundant number, since it is smaller than the sum of its proper divisors (1847201472).

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

680730480 is a wasteful number, since it uses less digits than its factorization.

680730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

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

The square root of 680730480 is about 26090.8121759366. The cubic root of 680730480 is about 879.6807037208.

The spelling of 680730480 in words is "six hundred eighty million, seven hundred thirty thousand, four hundred eighty".