680902800 has 120 divisors (see below), whose sum is σ = 2187020736. Its totient is φ = 181086720.

The previous prime is 680902799. The next prime is 680902813. The reversal of 680902800 is 8209086.

680902800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775962 + ... + 776838.

Almost surely, 2^680902800 is an apocalyptic number.

680902800 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 680902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093510368).

680902800 is an abundant number, since it is smaller than the sum of its proper divisors (1506117936).

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

680902800 is a wasteful number, since it uses less digits than its factorization.

680902800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 680902800 is about 26094.1142788944. The cubic root of 680902800 is about 879.7549248672.

The spelling of 680902800 in words is "six hundred eighty million, nine hundred two thousand, eight hundred".