609980800 has 384 divisors, whose sum is σ = 1869880320. Its totient is φ = 193536000.

The previous prime is 609980641. The next prime is 609980801. The reversal of 609980800 is 8089906.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609980801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14185579 + ... + 14185621.

It is an arithmetic number, because the mean of its divisors is an integer number (4869480).

Almost surely, 2^609980800 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 609980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934940160).

609980800 is an abundant number, since it is smaller than the sum of its proper divisors (1259899520).

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

609980800 is a wasteful number, since it uses less digits than its factorization.

609980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 609980800 is about 24697.7893747598. The cubic root of 609980800 is about 848.0837107346.

The spelling of 609980800 in words is "six hundred nine million, nine hundred eighty thousand, eight hundred".