680777460 has 360 divisors, whose sum is σ = 2465705088. Its totient is φ = 156816000.

The previous prime is 680777443. The next prime is 680777473. The reversal of 680777460 is 64777086.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4508385 + ... + 4508535.

Almost surely, 2^680777460 is an apocalyptic number.

680777460 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 680777460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232852544).

680777460 is an abundant number, since it is smaller than the sum of its proper divisors (1784927628).

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

680777460 is a wasteful number, since it uses less digits than its factorization.

680777460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 680777460 is about 26091.7124773366. The cubic root of 680777460 is about 879.7009400454.

The spelling of 680777460 in words is "six hundred eighty million, seven hundred seventy-seven thousand, four hundred sixty".