680434776 has 192 divisors, whose sum is σ = 2242015200. Its totient is φ = 190584576.

The previous prime is 680434753. The next prime is 680434823. The reversal of 680434776 is 677434086.

It is a super-4 number, since 4×680434776⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560346 + ... + 561558.

Almost surely, 2^680434776 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 680434776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121007600).

680434776 is an abundant number, since it is smaller than the sum of its proper divisors (1561580424).

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

680434776 is a wasteful number, since it uses less digits than its factorization.

680434776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 680434776 is about 26085.1447379538. The cubic root of 680434776 is about 879.5533097987.

The spelling of 680434776 in words is "six hundred eighty million, four hundred thirty-four thousand, seven hundred seventy-six".